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A 4 cm x 6 cm rectangle sits inside a circle with radius with 11 cm. What is the area of the shaded region?

User Yedetta
by
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1 Answer

4 votes

Answer:

The area of the shaded region is
(121\pi -24)\ cm^(2)

Explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

so


A=\pi r^(2) -bh

we have


r=11\ cm


b=4\ cm


h=6\ cm

substitute the values


A=\pi (11^(2)) -(4)(6)


A=(121\pi -24)\ cm^(2) ----> exact value of the shaded area

User John Simons
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