: Sergio wants to fence in a circular portion of his backyard for a play space for his dog. Determine the area of the largest portion of the yard he can enclose with 72 feet of fencing. Use 3.14 for π.
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Given :
Circumference of circle = 72 feet
Circumference of circle = 2πr
72 = 2 × 3.14 × r
r = 72/6.28
r = 11.465 feet
Now, Area of circle = πr²
Area = 3.14 × (11.465)²
= 412.74 feet²
Sergio can enclose Area of 412.74 ft² with 72 feet of fence.