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Question

AB and CD are respectively arcs of two concentric circles of radii 21cm and 7cm and centre O. If AOB=30o, find the area of the shaded region.
1198831_6b8dc2687eeb4bd880bf870684242705.png

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Solution

Area of sector AOB
Radius r=21 cm
And θ=30o
Area of sector AOB =θ360×πr2
=30360×227×21×21
=2312 cm2

Area of sector COD
Radius r=7 cm
And θ=30o
Area of sector COD =θ360×πr2
=30360×227×7×7
=776 cm2

Now,
Area of shaded region =2312776
=3×231776
=693776
=6166
=3083

1101672_1198831_ans_e8eba0b3f602497d819bb4db924d6ca5.png

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