The circumference of a circle if 65π. In terms of pi, what is the area of the circle?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given :

Circumference of circle = 65π

we know, circumference of circle = 2πr

65π = 2πr

dividing both sides by 2π, we get

65π/2π = 2πr/2π

65/2 = r

Now, Area of circle = πr^2

                                  = π(65/2)^2

                                  = π(4225/4)

                                  = 1056.25 π

 

Hence, area of circle is 1056.25 π.