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Question

Find the area of given figure, if the diameter BC is 14 cm and AD = 16 cm.


A
56 cm2
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B
77 cm2
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C
112 cm2
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D
189 cm2
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Solution

The correct option is D 189 cm2
Given
BC = diameter = 14 cm
Hence
BD = DC = Radius = diameter2 = 142 = 7 cm

Area of given figure
= Area of ABC + Area of semicircle

Area of ABC
= 12×base×height
=12×BC×AD
=12×14×16=7×16=112 cm2

Area of semicircle
=12×πr2=12×227×DC2=12×227×72=12×227×49=22×497×2=11×7=77 cm2

Therefore, area of the given figure
= 112 + 77
= 189 cm2

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