A circular swimming pool has radius of 15 feet. The family that owns the pool wants to erect a circular fence that is 5 feet away from the pool. Which is the closest to the circumference of the fence they will need? A. 94.2 ft B. 125.6 ft C. 157 ft D. 188.4 ft
To determine the circumference of the fence, we need to calculate the radius of the pool plus the distance from the pool to the fence.
Given:
Radius of the pool = 15 feet.
Distance from the pool to the fence = 5 feet.
Step 1: Calculate the radius of the pool plus the distance to the fence.
Radius of the pool + Distance from the pool to the fence = 15 ft + 5 ft = 20 ft.
Step 2: Calculate the circumference of the fence using the formula:
Circumference = 2πr, where r is the radius of the fence.
Plugging in the radius value of 20 ft into the formula:
Circumference = 2π(20 ft) = 40π ft.
Step 3: Approximate the value of π to calculate the circumference.
Using 3.14 as an approximate value for π:
Circumference ≈ 40 × 3.14 ≈ 125.6 ft.
Therefore, the closest circumference of the fence they will need is B. 125.6 ft.
To find the circumference of the circular fence, we need to find the circumference of the outer circle. The outer circle is formed by adding the radius of the pool (15 feet) plus the distance between the pool and the fence (5 feet).
The formula for the circumference of a circle is given by C = 2πr, where C is the circumference and r is the radius.
So, the circumference of the outer circle (fence) is C = 2π(15 + 5) = 2π(20) = 40π feet.
To find an approximate value, we can use the approximation π ≈ 3.14.
Therefore, the approximate circumference of the fence is C ≈ 40 × 3.14 = 125.6 feet.
From the given options, the closest value to the circumference needed is B. 125.6 ft.
The radius of the fence would be 20 ft
circumf = 2πr = 2π(20)
= 40π or appr 125.66
so I guess B comes closest