Question

The circumstance of a circle is 8π ft. find its area in terms of pi

Answer 1

A = 16π ft²

Explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

to find r use the formula for the circumference (C) of a circle

C = 2πr

given C = 8π , then equating gives

2πr = 8π ( divide both sides by 2π )

`(2\pi )/(2\pi )` r =
`(8\pi )/(2\pi )` , that is

r = 4

substitute r = 4 into formula for A

A = πr² = π × 4² = 16π ft²