The area of a circle is 36π. What is the length of a diameter of the circle?

d = 12

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Substituting what we know

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/pi

36 = r^2

Taking the square root of each side

sqrt (35) = sqrt (r^2)

6 = r

We want the diameter

d = 2r

d = 2 (6)

d = 12