Question

Compute the area of a circle with a circumference of 195 feet

Answer 1

A ≈ 3019 ft²

Explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

the circumference (C) of a circle is calculated as

C = 2πr

given C = 195 , then

2πr = 195 ( divide both sides by 2π )

r =
`(195)/(2\pi )` ≈ 31 ft ( to the nearest whole number )

Then

A = π × 31² = 961π ≈ 3019 ft²