If the area of a circle is 36pi, what is the circumference
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
Area of a Circle: 36π
Determine the Circumference:
Formula for the Area of the Circle:
A = πr^2
Formula for the Circumference of the Circle:
C = 2πr
Solution:
SInce we are given the area of the circle, we must first find its radius, by solving r in terms of A.
A = πr^2
r^2 = A/π
r =√A/π
r = √36π/π
r = 6
Substitute the value of r in the formula for the circumference of the circle.
C = 2πr
C = 2π(6)
C = 12π
Final answer:
C = 12π or 37.69