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

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 circle what is the area of the shad class=

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Answer:

27Ï€ Sq in.

Step-by-step explanation:

Circle A is equal to 9Ï€ 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 36Ï€ sq inches. Now we subtract Circle A's area from Circle B's area(36Ï€ sq in. - 9Ï€ sq in.), the area of the shaded region is 27Ï€ sq in.

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