If the area of a circle measures 16π cm2, what is the circumference of the circle in terms of π? a) 4π cm b) 8π cm c) 24π cm d) 32π cm

Hi there!

In order to solve for the circumference, we first need the radius or diameter. In order to find the radius, we'll use the formula for the area of a circle and work backwards.

WORK:
Area formula: A = pi x r^2
Plug in the area: 16pi = pi x r^2
Divide both sides by pi: 16 = r^2
Take the square root of each side: r = 4

Now that we know the radius is equal to 4 centimeters, we know that the diameter is equal to 8 centimeters because the diameter is equal to double the radius. Next, we'll use the formula for the circumference of a circle to solve for the circumference.

WORK:
Circumference formula: C = pi x Diameter
Plug in the diameter: C = pi x 8
Multiply: C = 8pi cm

ANSWER:
B - 8pi cm

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

What the options to that