Question

Indian and Brian want to build a fence in a circular portion of their backyard determine the area of the circular portion of the yard so they can enclose with 30 pi feet of fencing leave your answer in terms of pi what is the answer

Answer 1

The area of the circular portion of the yard is 225π feet squared

How to find the area of a circular portion?

The area they want to enclose has a 30π fencing.

Therefore,

perimeter or circumference of a circle = 2πr

where

• r = radius

Therefore,

circumference of a circle = 2πr

30π = 2πr

divide both sides by 2π

30π / 2π = 2πr / 2π

r = 15 ft

Therefore,

area of the circular portion = πr²

area of the circular portion =  π × 15²

area of the circular portion = 225π

Therefore, the area of the circular portion of the yard is 225π feet squared

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