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Question

In the fig., OABC is a square inscribed in a quadrant OPBQ. If OA=20cm, Find the area of shaded region. [π=3.14]
1365937_2941f83b541f4d2d88e63a9ff70563dd.PNG

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Solution

REF.Image
In Given figure
OABC is a square.
OA= 20 cm
In ΔOAB
OB=(OA)2+(AB)2
OB=(20)2+(20)2[OA=AB]
OB=202cm
Hence radius of quadrant is 202cm
now
area of shaded region = area of quadrant - ar of square
Area = πr24(OA)2
Area = 3.14×(202)24(20)2=(20)2[3.1421]
Area = 208cm2
Hence area of shaded region is 208cm2

1188670_1365937_ans_8262152f54734c248393bd32f7479e93.JPG

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