Question

A circular pool is enclosed by a square fence so that the pool touches the fence in four places, as shown in the figure below. If the circumference of the pool is 100π feet, how much fencing was used to enclose the area?

Answer 1

find the diameter of the circle

using circumference D = C/PI

so 100PI/PI = 100 feet diameter

to make a square around that each side needs to be 100 feet

100 x 4 = 400 feet of fence is required