Question

Given the circumference of a circle is 26 pi, what is the area of the circle? Show work. Leave answer in term of pi.

Answer 1

Answer:169pi

Step-by-step explanation:

Circumference(c)=26pi

Circumference(c)=2 x pi x radius(r)

26pi=2pi x r

Divide both sides by 2pi

26pi/2pi=(2pi x r)/2pi

13=r

Radius(r)=13

Area of circle=pi x r^2

area of circle=pi x 13^2

Area of circle=169pi