A circular ice rink is being built in town. Around the ice rink, a walkway will be built. The ice rink will have a diameter of 8080 feet and the walkway will be 1010 feet wide. What is the approximate area of the walkway?
A. 314 ft
B. 2,826 ft
C. 12,874 ft
D. 19.782 ft
no way it is 1010 feet wide
assuming you mean about 10 feet
and d is 80.8 (or is it 808 ?) surely not a mile and a half
pi d = about 3*81 = about250
pi d* 10 = about 2500
sorry, the numbers are 10 and 80
then my guess is my answer, about 2500, B
k, Thanks
You are welcome.
To find the approximate area of the walkway, we need to calculate the difference between the areas of the outer circle and the inner circle. Let's break down the steps:
1. Find the radius of the inner circle (ice rink) by dividing the diameter by 2:
Radius = Diameter / 2 = 8080 / 2 = 4040 feet.
2. Find the radius of the outer circle (including the walkway) by adding the width of the walkway to the radius of the inner circle:
Outer Radius = Inner Radius + Walkway Width = 4040 + 1010 = 5050 feet.
3. Calculate the area of the outer circle using the formula:
Area = π * (Outer Radius)^2.
Using the value of π as 3.14:
Area = 3.14 * (5050)^2.
Approximating the value:
Area ≈ 3.14 * 25,502,500.
Calculating the approximate area:
Area ≈ 80,096,150 square feet.
4. Calculate the area of the inner circle (ice rink) using the same formula:
Area = π * (Inner Radius)^2.
Area = 3.14 * (4040)^2.
Approximating the value:
Area ≈ 3.14 * 16,321,600.
Calculating the approximate area:
Area ≈ 51,246,784 square feet.
5. Finally, find the approximate area of the walkway by subtracting the area of the inner circle from the area of the outer circle:
Walkway Area ≈ Area of Outer Circle - Area of Inner Circle.
Walkway Area ≈ 80,096,150 - 51,246,784.
Walkway Area ≈ 28,849,366 square feet.
Now, let's compare the calculated approximate area of the walkway to the given options:
A. 314 ft: This value does not match our calculation.
B. 2,826 ft: This value does not match our calculation.
C. 12,874 ft: This value does not match our calculation.
D. 19.782 ft: This value does not match our calculation.
None of the given options match our calculated approximate area of the walkway, which is approximately 28,849,366 square feet.