What is the area of a circle if the circumference is 16 pi cm

Answer:64pi

Step-by-step explanation:

Circumference (c) = 16pi

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

Substituting we get

16pi=2 x pi x r

Divide both sides by 2pi

16pi/2pi = (2xpixr) / 2pi

8=r

Radius (r) = 8cm

Area (a) = pi x r^2

a=pi x 8^2

a=64pi

Therefore area of the circle=64pi