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3 February, 17:01

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

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Answers (1)
  1. 3 February, 17:57
    0
    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
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