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10 votes
10 votes
Find the area of the shaded region of circle F below. Round your answer to the

nearest tenth if necessary.

Find the area of the shaded region of circle F below. Round your answer to the nearest-example-1
User CPlus
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1 Answer

15 votes
15 votes

Check the picture below, so the shaded area is really just the area of one quarter of a circle's area with a radius of 7, and a triangle whose base is 7 and height is 7, so let's simply sum both of them up.


\stackrel{\textit{\Large Areas}}{\stackrel{\textit{quarter of a circle}}{\cfrac{1}{4}(\pi)(7)^2}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(7)}}\implies \cfrac{49\pi }{4}~~ + ~~\cfrac{49}{2}~~ \approx~~63.0

Find the area of the shaded region of circle F below. Round your answer to the nearest-example-1
User Chris Polzer
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3.2k points