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Question

In the figure given, ABC is a right-angled triangle, right-angled at B. BC=21cm andAB=28cm. With AC as diameter a semicircle and with BC as radius a quarter circle are drawn. What is the area of the shaded portion?
552880_18d2b993c2754eaca21f609fa6c51f77.png

A
425cm2
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B
425.75cm2
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C
428cm2
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D
428.75cm2
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Solution

The correct option is D 428.75cm2
Area of shaded region = Area of semicircle + Area of triangle - Area of quarter-circle
=π×(352)22+28×212π×2124
=428.75cm2

1072455_552880_ans_81639e0ea8ab49a39ee3f85b92e30809.png

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