Question

Sirgeo wants to fence in a circular portion of his backyard for a place space for his dog. Determine the area of the largest portion of the yard he can close with 72 feet of fencing use 3.14 for pi

Answer 1

412.7 square feet

Explanation:

A circle of circumference 72 ft will have a radius given by ...

C = 2πr

(72 ft) = 2(3.14)r

r = (72 ft)/(6.28) ≈ 11.465 ft

The area of a circle with that radius is ...

A = πr² = 3.14(11.465 ft)² ≈ 412.7 ft²

Sirgeo can enclose a circular area of about 412.7 square feet with 72 feet of fence.