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Question

ABCD is a flower bed. If OA = 21m and OC = 14m. Find the area of the bed in m2.


A

180.30

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B

921

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C

190

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D

192.50

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Solution

The correct option is D

192.50


Area of a sector with angle θ is given by =θ360° × π × r2 ( where θ is the angle made by the sector )
Required area = Area of sector OABO – Area of sector OCDO

The angle formed by the sector OABO and sector OCDO = 90°
=90360×227×(21)290360×227×(14)2
=14×227×{(21)2(14)2}
=14×227×{(35)(7)} [a2b2=(a+b)(ab)]
=192.50 m2


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