Verified answer

The area of a circle can be found by the formula:

A = πr²

So, solve for r (the radius)

16π = πr²

r² = 16

r = 4 cm

2r is the diameter

2r = 8 centimeters

d = 8 cm

The formula for the circumference of a circle is C = πd

C = π * 8 = 8π centimeters

Circumference is πd

Area is π(d/2)^2

So, divide 16π by π to find that the area = 16 = (d/2)^2

Take the square root of both sides:

4 = d/2

hence d = 8

So the circumference is 8π