A circular mirror has a diameter of 12 inches.

Part A

What is the area, in square inches, of the mirror?

A. 6pi

B. 12pi

C. 36pi

D. 72pi

Part B

A circular frame that is 3 inches wide surrounds the mirror.

What is the combined area, in square inches, of the circular mirror and the frame?

A. 9pi

B. 18pi

C, 54pi

D. 81pi

Part A

C. 36π

Part B

D. 81π

Step-by-step explanation:

The general formula for the area of a circle is:

A = πr², where 'r' represents the radius of the circle

Since the mirror has a diameter of 12 inches, the radius is half of that measure, or 6 inches. So, for the area of just the mirror:

A = π6² = 36π in²

Adding a circular frame around the mirror increases the radius by another 3 inches:

6 in + 3 in = 9 in

Given the new radius, use the same formula to calculate the overall area:

A = π9² = 81π in²