If the area of a circle measures 16π

, what is the circumference of the circle in terms of π?
Responses
A 4π cm4π cm
B 8π cm8π cm
C 24π cm24π cm
D 32π cm

1 answer

The formula for the circumference of a circle is C = 2πr where r is the radius of the circle.

Given that the area of the circle is 16π, we can solve for the radius using the formula A = πr^2:
16π = πr^2
r^2 = 16
r = 4

So, the radius of the circle is 4. Plugging this into the circumference formula:
C = 2π(4) = 8π

Therefore, the circumference of the circle in terms of π is B) 8π cm.