A circular sign is precisely designed to have an area of 50.24 square inches. What is the sign's circumference?

Mathematics · College · Tue Nov 03 2020

Answered on

Given:

Area: 50.24 in^2

Determine the sign's circumference.

Formula for area of a circle:

A=πr^2

Formula for Circumference:

C= 2πr

Solution:

We must first find the radius of the circle, and in order to do so, we solve for r in terms of the formula for the Area.

A=πr^2

r^2= A/π

r = √A/π

Substitute the value of A.

r = √50.24 in^2/π

r = √15.99 in^2

r = 3.99 or 4 in

Substitute the value of r in the formula for the circumference of the circle.

C= 2πr

C= 2π(4)

C= 8π

C = 25.13 in

Final answer:

25.13 in