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