The maximum amount of §179 expense TDW may deduct for 2022 is $257,000.
To determine the maximum amount of §179 expense that TDW Corporation can deduct for 2022, we first Add up the cost of all the assets acquired in 2022:
$2,270,000 (machinery) + $263,000 (computer equipment) + $880,000 (furniture) = $3,413,000
Now we determine the amount of the §179 deduction limit for the tax year.
For tax year 2022, the §179 deduction limit is $1,050,000.
Check if the cost of the assets exceeds the §179 deduction limit.
Since the cost of the assets ($3,413,000) is greater than the §179 deduction limit ($1,050,000), we need to calculate the phase-out limit.
Now we determine the phase-out limit.
For tax year 2022, the phase-out limit is $2,620,000.
Calculate the §179 expense deduction.
Since the cost of the assets ($3,413,000) is greater than the phase-out limit ($2,620,000), we need to reduce the §179 deduction by the excess over the phase-out limit.
The excess over the phase-out limit is $793,000 ($3,413,000 - $2,620,000).
The §179 expense deduction is the lesser of the §179 deduction limit and the cost of the assets reduced by the excess over the phase-out limit.
The §179 expense deduction is $1,050,000 - $793,000 = $257,000.
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SOMEONE HELP PLEASE
Kiki runs 4 3/7 miles during the first week of track practice she runs 6 2/3 miles during the second week of track practice. How much longer does kiki run during the second week of track practice than the first week of track practice
Total longer distance is [tex]3\frac{2}{21} miles[/tex], that kiki run during the second week of track practice than the first week of track practice.
We have, a runner Kiki and she runs on track for practice. In first week,
Distance runs by Kiki on track practic = [tex]4 \frac{3}{7} miles[/tex]
which is a mixed fraction so, simplify it into simple fraction that is 25/7 miles. In second week,
Distance runs by Kiki on track practice = [tex]6 \frac{2}{3} miles[/tex]
After simplification, it is equals to 20/3 miles. We have to calculate the longer distance that kiki run during the second week of track practice than the first week of track practice. Let the distance run during second week be longer by 'x miles' from distance run during first week. The required distance can be calculated by difference between the distance that kiki run during the second week of track practice and the first week of track practice. So, [tex]x = \frac{20}{3} - \frac{25}{7 }[/tex].
taking least common multiple of (3,7)= 21
=> [tex] x = \frac{20× 7 - 3× 25}{21} [/tex]
[tex] =>x = \frac{ 140 - 75}{21} = \frac{65}{21 }[/tex].
Hence, required distance value is
[tex]3\frac{2}{21} [/tex].
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The mirror has a frame. The diameter of the mirror with
the frame is 17 inches. To the nearest hundredth, what
is the area of the mirror with the frame?
Answer:
226.865 square inches.
Step-by-step explanation:
The equation for the area of a circle is [tex]\pi r^2[/tex]. Let's use 3.14 for pi. The radius can be found by dividing 17/2 = 8.5. 8.5 squared is 72.25. Finally, multiply by pi to get 226.865.
Two ballons, Balloon A and Balloon B, have a total volume of 3/5 gallon. Balloon A has a greater volume than Balloon B. The difference of their volumes is 1/5 gallon. Write and solve a system of equations using elimination to find the volume of each balloon.
PLEASE HELP
The volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.
What is volume?
Any three-dimensional solid's volume is simply the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.
We are given that two balloons have a total volume of [tex]\frac{3}{5}[/tex] gallon.
Let the volume of balloon A be x and the volume of balloon B be y.
So, we get
x + y = [tex]\frac{3}{5}[/tex]
Also, it is given that the difference of their volumes is [tex]\frac{1}{5}[/tex] gallon and Balloon A has a greater volume than Balloon B.
So, we get another equation as
x - y = [tex]\frac{1}{5}[/tex]
Now, on adding both the equations, we get
⇒ 2x = [tex]\frac{4}{5}[/tex]
Now, on solving we get
⇒ x = [tex]\frac{2}{5}[/tex]
Now, on substituting the value of x in the equation, we get
⇒ [tex]\frac{2}{5}[/tex] + y = [tex]\frac{3}{5}[/tex]
⇒ y = [tex]\frac{1}{5}[/tex]
Hence, the volume of balloon A is [tex]\frac{2}{5}[/tex] gallon and the volume of balloon B is [tex]\frac{1}{5}[/tex] gallon.
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It takes jerry 3 hours to clean all the tank in his section. It take hart x hours to clean all the tanks in his section. If they work together they can clean the tanks in 1 hour. What fraction does Jerry get done in 1 hour
The amount or fraction of work Jerry gets done in 1 hour is 1/3 when it takes him 3 hours to clean all the tank in his section and it take Hart x hours to clean all the tanks in his section.
We know that it takes jerry 3 hours to clean all the tank in his section and it take Hart x hours to clean all the tanks in his section,
when they work together, they can clean the tanks in 1 hour.
now let work be - 1
therefore,
work x Jerry = work x Hart
1×3 = 1×x
3 = 1x
3 = x
therefore in 1 hour work done by Jerry will be 1/3.
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Complete the table for the given function y = x^2+ -3
Which one of the following decisions most clearly reflects a lack of understanding of the concept of sunk costs? You pay to have your car towed back to the repair shop because it was not fixed properly the first time. You decide to get a master's degree because you cannot find a job in the field in which you majored. You decide to purchase a piece of machinery for your business that will eliminate three employees' positions. You study eight hours for a final exam even though there is no way now that you can pass the course.
The decision that most clearly reflects a lack of understanding of the concept of sunk costs is "You study eight hours for a final exam even though there is no way now that you can pass the course".
What are sunk costs?Sunk costs refer to any costs that have already been incurred and cannot be recovered. Sunk costs are irrelevant in decision-making because they are already gone and cannot be recovered. Decision-makers must only consider future costs and benefits when making decisions.
What does it mean to lack an understanding of sunk costs?A lack of understanding of sunk costs may result in individuals making decisions based on past costs rather than future costs and benefits. Decision-making that is influenced by sunk costs may result in inefficient resource allocation and lost opportunities.
Individuals must ignore sunk costs and instead focus on future costs and benefits to make effective decisions.
In the given options, "You study eight hours for a final exam even though there is no way now that you can pass the course" is the decision that most clearly reflects a lack of understanding of the concept of sunk costs.
Even though the student has already spent 8 hours studying, the sunk costs are irrelevant because the student cannot pass the course now. The student should focus on future costs and benefits and use the remaining time to study for other courses.
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please help i will give brainliest along with 20 pnts. ONLY ANSWER IF YOU KNOW IT
Giovanna deposited $1600 into two accounts, half in First Oak and half in West United.
Interest earned in First Oak account after 5 years at 6% simple interest:
= 0.06 x $800 x 5
= $240
Interest earned in West United account after 5 years at 5% compounded annually:
= $800 x (1 + 0.05)^5 - $800
= $800 x 1.27628 - $800
= $221.02
Total interest earned in both accounts:
= $240 + $221.02
= $461.02
Therefore, Giovanna will have earned $461.02 in interest from both accounts at the end of 5 years.
the area of the figure
Answer:
432
Step-by-step explanation:
go 16x27 and that is your answer
Answer:
The area of the figureo will be 432
BECAUSE :-
You have to multiply 16 × 27 = 432
Hope Its Help You !!
function “p” is in the form y = ax 2+c. if the values of “a” and “c” are both less than 0. which graph could represent “p”?
Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.
Answer: p= 2+c
Step-by-step explanation:
Please help 30 points I've been struggling
Identify the Slope and y - intercept from the graph
Slope (m) =
b =
Write the equation of the line in Slope-Intercept form
f scores are normally distributed with a mean of 35 and a standard deviation of 10, what percent of the scores is: (a) greater than 34?
The percentage of scores greater than 34 is 0.5398 or 53.98%.
Given that the mean of scores (μ) = 35 and the standard deviation (σ) = 10. We need to find the percentage of scores greater than 34. Since the scores are normally distributed, we can standardize the variable by using the z-score formula.
z = (x - μ) / σ
Here, x = 34, μ = 35 and σ = 10z = (34 - 35) / 10z = -0.1
We need to find the area to the right of the z-score line on the standard normal distribution table. The standard normal distribution table provides the probabilities corresponding to the z-scores, i.e. the area under the curve to the right or left of the z-score line on the distribution table. The area to the right of the z-score line represents the percentage of scores that are greater than the given value. Using the standard normal distribution table, the area to the right of the z-score line -0.1 is 0.5398.
The percentage of scores greater than 34 is 0.5398 or 53.98%.
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The base year is 2012. Real GDP in 2012 was $15 trillion. The GDP price index in 2019 was 105, and real GDP in 2019 was $16 trillion. What was the percentage increase in production from 2012 to 2019, and by what percentage did the price level rise from 2012 to 2019?
Real GDP increase in 2019 was $16 trillion, representing a 6.67% increase from 2012. The price level rose by 5% from 2012 to 2019, with a GDP price index of 105 in 2019.
To calculate the percentage increase in production from 2012 to 2019, we need to use the following formula:
Percentage increase in production = ((Real GDP in 2019 - Real GDP in 2012) / Real GDP in 2012) x 100
Substituting the given values, we get:
Percentage increase in production = ((16 trillion - 15 trillion) / 15 trillion) x 100
Percentage increase in production = (1 trillion / 15 trillion) x 100
Percentage increase in production = 6.67%
Therefore, there was a 6.67% increase in production from 2012 to 2019.
To calculate the percentage increase in price level from 2012 to 2019, we can use the following formula:
Percentage increase in price level = ((GDP price index in 2019 - GDP price index in 2012) / GDP price index in 2012) x 100
Substituting the given values, we get:
Percentage increase in price level = ((105 - 100) / 100) x 100
Percentage increase in price level = (5 / 100) x 100
Percentage increase in price level = 5%
Therefore, the price level rose by 5% from 2012 to 2019.
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a bag contains red balls, green balls, and yellow balls. if balls are drawn one at a time without replacement, the probability that the first yellow ball is drawn on the eighth draw is , what is the value of ?
The probability of drawing the first yellow ball on the eighth draw is 1/2772.
The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.
The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is
(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)
Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.
Therefore, the probability of drawing the first yellow ball on the eighth draw is
(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)
Simplifying this expression, we get
(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)
which simplifies to:
1/2772
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The given question is incomplete, the complete question is:
A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?
9. A helicopter spots two landing pads below. The straight-line distance
from the helicopter to the pads is 14 miles to Landing Pad A and 8 miles
to Landing Pad B. If the landing pads are 20 miles apart, find the angle
of depression from the helicopter to Landing Pad B.
In response to the stated question, we may state that As a result, the Pythagorean theorem angle of depression from the helicopter to Landing Pad B is around 16.7 degrees.
what is Pythagorean theorem?The Pythagorean theorem is a fundamental mathematical principle that describes the connection between the sides of a right triangle. It asserts that the sum of the squares of the other two sides' lengths equals the square of the hypotenuse's length (the side opposite the right angle). The mathematical theorem is as follows: c2 = a2 + b2 Where "c" denotes the hypotenuse length and "a" and "b" indicate the lengths of the other two sides, known as the legs.
We can calculate the angle of depression from the helicopter to Landing Pad B using trigonometry.
Let we make a diagram:
B
/|
/ |
/ | 8 miles
14 / |
/θ |
/ |
/ |
/______|______ A
20 miles
Using trigonometry, we can deduce:
tan(θ) = opposite / adjacent
The opposing side in this example is 14 - 8 = 6 miles (since the helicopter is 14 miles from Landing Pad A and 8 miles from Landing Pad B, and the pads are 20 miles apart). The distance between the two sides is 20 miles (the distance between the landing pads).
tan(θ) = 6 / 20
tan(θ) = 0.3
θ = arctan(0.3)
θ ≈ 16.7 degrees
As a result, the angle of depression from the helicopter to Landing Pad B is around 16.7 degrees.
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The graphs of line a and b are shown in this coordinate grid
Match each line with it's equation. Drag each equation to the corresponding box for each line
The correct option for the given graph is option 1 and option 3. The equation matches the intersection point (1,1).
For option 1: intersection point (1,1)
substitute the values of x & y in the given equation.
1 = 3 (1) - 2
1 = 1
LHS = RHS
For option 2: point (1,1)
substitute the values of x & y in the given equation.
1 = 2 (1) + 3
1 = 5
LHS ≠ RHS
For option 3: point (1,1)
substitute the values of x & y in the given equation.
1 = -2 (1) + 3
1 = 1
LHS = RHS
For option 4: point (1,1)
substitute the values of x & y in the given equation.
1 = - [tex]\frac{1}{2}[/tex] (1) + 3
1 = [tex]\frac{5}{2}[/tex]
LHS ≠ RHS
For option 5: point (1,1)
substitute the values of x & y in the given equation.
1 = - [tex]\frac{1}{3}[/tex] (1) + 3
1 = [tex]\frac{8}{9}[/tex]
LHS ≠ RHS
Therefore, correct option for the given graph is option 1 and option 3.
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I ask you, to solve the system.
y=x2+2x-2
y=x+10
Answer:
y = 22 - x2 or x = 12 - x2
Step-by-step explanation:
a square has side length of 7.3 in . if the area is multiplied by 19 , what happens to the perimeter?
The new perimeter is 127.2 inches if it is multiplied by 19.
What do you mean by the are and perimeter of the square ?
The area of a square is calculated by squaring the length of one of its sides. If the area of a square is multiplied by a factor, the length of the sides will be multiplied by the square root of that factor. One way to express the concept of perimeter for a square is to state that it is the total distance around the outer boundary of the shape, which is equal to the sum of the lengths of all four sides.
Determining the the value of perimeter :
The area of the square is [tex]7.3 \times 7.3 = 53.29[/tex] square inches.
If this area is multiplied by 19, the new area will be 1012.51 square inches.
To find the new side length of the square, we take the square root of the new area:
[tex]\sqrt{1012.51} = 31.8[/tex] (rounded to one decimal place)
Therefore, the new side length of the square is 31.8 inches.
To find the new perimeter, we multiply the new side length by 4:
[tex]31.8 \times 4 = 127.2[/tex]inches
So the new perimeter is 127.2 inches.
To summarize, when the area of the square with side length 7.3 inches is multiplied by 19, the perimeter is multiplied by the square root of 19, which is approximately 4.36. The new perimeter is 127.2 inches.
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a centrifuge in a medical laboratory rotates at an angular speed of 3450 rev/min in the positive direction. when switched off, it rotates through 45.8 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge.
The constant angular acceleration of the centrifuge is approximately [tex]-331283[/tex] rad/min² in the negative direction.
To find the constant angular acceleration of the centrifuge, we can use the following kinematic equation:
ω² = ω₀² + 2αθ
Here, ω is the final angular velocity (0 rad/min, since it comes to rest), ω₀ is the initial angular velocity (3450 rev/min), α is the constant angular acceleration we want to find, and θ is the angular displacement (45.8 revolutions).
First, we need to convert the given angular values to radians. We know that 1 revolution equals 2π radians.
Initial angular velocity, ω₀ = 3450 rev/min × 2π rad/rev = 6900π rad/min
Angular displacement, θ = 45.8 rev × 2π rad/rev = 91.6π rad
Now, substitute the values into the kinematic equation:
[tex]0 = (6900π)² + 2α(91.6π)[/tex]
[tex]α = - (6900π)² / (2 × 91.6π)[/tex]
[tex]α ≈ -331283 rad/min²[/tex]
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How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
The length of the rectangle is what units.
The width of the rectangle is what units.
The area of the rectangle is what square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
what square units.
Answer:
the area ot the triangle is half the area of the rectangle, so the area of the triangle is what sqauare units
Answer: It's much easier to form a rectangle and multiply the width and the length and then divide it by 2
In a basketball free-throw shooting contest shots made by Sam and Wil were in the ratio 7:9.Wil made 6 more shots than Sam. Find the number of shots made by each of them.
Answer:
Sam made 21 shots, and Wil made 27 shots.
11. Find m
H= 5x+8
J= 7x-16
Answer:
let angle GJK be x
GJK=GHK (Base angle of isosceles triangle)
Step-by-step explanation:
x=5x+8
5x-x=8
4x=8
x=8/4
x=2 ans.
Hence,
5x+8
5*2+8
10+8
18.ans
While birdwatching, Vicki saw 7 red birds, 9 white birds, and 19 black birds. Johnny saw 9 red birds, 12 blue birds, and 29 brown birds. Estimate how many more birds Johnny saw by rounding all numbers to the nearest ten before adding and subtracting.
Answer:
10
Step-by-step explanation:
7 rounds to 10
9 rounds to 10
19 rounds to 20
so Vicki has 40 birds
9 rounds to 10
12 rounds to 10
29 rounds to 30
so johnny has 50 birds
now subtract 50-40=10
Which values are in the solution set of the compound inequality? Select two options. 4(x + 3) ≤ 0 or x+1>3 –6 –3 0 3 8
The two values that are in the solution set are -6 and 4, since both of these values satisfy at least one of the inequalities in the compound inequality.
What is inequality equation?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
To solve the compound inequality 4(x + 3) ≤ 0 or x + 1 > 3, we can first simplify the left-hand side of the first inequality:
4(x + 3) ≤ 0
4x + 12 ≤ 0
4x ≤ -12
x ≤ -3
Now we can solve the second inequality:
x + 1 > 3
x > 2
Therefore, the solution set for the compound inequality is all values of x that are less than or equal to -3 or greater than 2. This can be written in interval notation as:
(-∞, -3] ∪ (2, ∞)
Therefore, the two values that are in the solution set are -6 and 4, since both of these values satisfy at least one of the inequalities in the compound inequality.
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Each prism has the same volume. Which has the least surface area? Explain or show your
reasoning.
This means that the cube will have less surface area than the rectangular prism.
What is surface area?Surface area is a measure of the total exposed area of an object, or the total area of its two-dimensional surface. It is a measurement of the total exposed area of a three-dimensional object and is used to calculate the amount of material needed to cover a given area. Surface area is commonly used in physics, chemistry, engineering, and mathematics.
The prism with the least surface area of the same volume is the cube. This is because a cube has equal length, width, and height, allowing for all of the sides to be equal in size. This means that the area of each side is the same and all six sides of the cube are congruent. This creates the least amount of surface area for a given volume, as compared to any other prism. To illustrate this, take a cube and a rectangular prism with the same volume. The cube will have 6 smaller sides, while the rectangular prism will have 5 larger sides and 1 smaller side. This means that the cube will have less surface area than the rectangular prism.
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the ages of students at a university are normally distributed with a mean of 20. what percentage of the student body is at least 20 years old?
The percentage of the student body that is at least 20 years old is 50%.
The ages of students at a university are normally distributed with a mean of 20. To find the percentage of the student body that is at least 20 years old solution to the is as follows: As the Mean of ages of students at a university, μ = 20. Age is normally distributed so it will be divided into two groups Therefore, the mean age is equal to the median age. As the age is normally distributed, 50% of the population will have an age greater than or equal to 20 years old. Thus, the percentage of the student body that is at least 20 years old is 50%. Hence, the required percentage of the student body that is at least 20 years old is 50%.
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When George Washington became president in 1789, the army he had commanded in the American Revolution had
disbanded
ARMY DISBANDED MEANS SOLDIERS WERE RELEASED FROM SERVICE
When George Washington became president in 1789, the army he had
commanded in the American Revolution had disbanded. This means that
the soldiers were released from service and the military units were
dissolved after the end of the war.He pursued two intertwined interests:
military arts and western expansion. At 16 he helped survey Shenandoah
lands for Thomas, Lord Fairfax. Commissioned a lieutenant colonel in 1754,
he fought the first skirmishes of what grew into the French and Indian War.
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What is the volume of the cone expressed in terms of pi?
Answer: V≈339.29 in
Step-by-step explanation:
If a regular polygon had 360 side, what would each exterior angle measure? What would each interior angle measure?
Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.
what is angle ?In mathematics, an angle is a figure made up of two rays that share a shared endpoint and are referred to as the sides of the angle and the vertex of the angle, respectively. Angles are typically measured in degrees, radians, or other angle measurement units. Angles can be categorized based on how wide they are. An acute angle is one that is less than 90 degrees, an obtuse angle is one that is higher than 90 degrees but less than 180 degrees, and a right angle is one that is 90 degrees. A reflex angle is greater than 180 degrees but less than 360 degrees, and a straight angle is precisely 180 degrees.
given
Since a polygon with that many sides would have sides that are extremely tiny in relation to the radius, if a regular polygon has 360 sides, it is a circle. Since every group of points in a regular polygon has an equal exterior angle and the sum of all exterior angles in a circle is 360 degrees, each exterior angle in a regular polygon would be measured as follows:
360 edges / 360 degrees = one degree.
Each interior angle of a regular polygon with n sides can be determined using the following formula:
Inner angle is equal to (n-2) x 180 / n.
When we enter n = 360 into this algorithm, we obtain:
(360-2) x 180 degrees / 360 = 178 degrees is the interior angle.
Therefore, each internal angle would be 178 degrees in a regular polygon with 360 sides.
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On a certain hot summers day, 402 people used the public swimming pool. The daily prices are 1. 50$ for children and 2. 00$ for adults. The receipts for admission totaled 648. 50$. How many children and how many adults swam at the public pool that day?
From the given information provided, there were 311 children who swam at the pool that day.
Let's use C to represent the number of children who swam at the pool and A to represent the number of adults who swam at the pool.
From the problem, we know that:
C + A = 402 (Equation 1) (The total number of people who used the pool was 402)
1.50C + 2.00A = 648.50 (Equation 2) (The total receipts from admission were $648.50)
To solve for C and A, we need to eliminate one of the variables. We can do this by multiplying Equation 1 by 1.50, which will give us:
1.50C + 1.50A = 603 (Equation 3)
Now we can subtract Equation 3 from Equation 2 to eliminate C:
2.00A - 1.50A = 648.50 - 603
0.50A = 45.50
A = 91
So there were 91 adults who swam at the pool that day. To find the number of children, we can substitute A = 91 into Equation 1:
C + 91 = 402
C = 311
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if the path around the edge of a circular lawn is 132 feet, what is the approximate area inside the circular path? complete the answer sentence. solve on paper. then, enter your answer on zearn. you may consider writing your answer to the hundredths place and using the calculator to help you solve.
As a result, the circumference of the circular walkway is approximately 367.06 square feet.
what is circle ?A circle is a geometric shape made up of all points that are equally spaced apart from the center. It is a flat, two-dimensional object whose radius or diameter serves as its sole defining characteristic. A circle's circumference is the distance around it, while the area of the circle is the amount of space inside it.
given
We must deduct the area of the smaller circle from the size of the larger circle in order to determine the area inside the circular path. Let's use the abbreviations "r" for the smaller circle's radius and "R" for the larger circle's radius. We are aware that the circumference of the smaller circle, which is 132 feet, is equal to the distance around the circular path.
The wider circle's circumference is 132 feet.
2πR = 132
R = 21
The breadth of the circular path, which is equal to the difference between the radii of the two circles, can now be used to calculate the radius of the smaller circle:
R - r = diameter of the circle
21 - r = diameter of the circle
r = 18
The smaller circle therefore has a radius of 18 feet.
Inside the arc of the path, there is:
R2 - r2 equals (21 - 18) = (44 - 324) = (117) 367.06 square feet.
As a result, the circumference of the circular walkway is approximately 367.06 square feet.
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