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Lelu [443]
4 years ago
7

A circle with center A and radius three inches is tangent at C to a circle with center B, as shown. If point B is on the small c

ircle, what is the area of the shaded region? Express your answer in terms of \pi.

Mathematics
1 answer:
andrew-mc [135]4 years ago
8 0

Answer:

27π Sq in.

Step-by-step explanation:

Circle A is equal to 9π sq inches. (Radius squared times Pi), Segment BC is a radii of Circle B and the diameter of Circle A. Meaning Circle B's radius is 6 inches. The area of circle B would be 36π sq inches. Now we subtract Circle A's area from Circle B's area(36π sq in. - 9π sq in.), the area of the shaded region is 27π sq in.

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