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Question

Find the area of the shaded region in fig, where is circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre
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Solution

Area of Shaded region = Area of equilateral triangle ABO + Area of Major sector
Area of Equilateral Triangle ABO =34×a2 =34×12×12cm2

=62.352cm2
Area of major sector =θ360×π×r2

=300360×π×6×6cm2
=94.2cm2
Area of Shaded region = 62.352+94.2 =156.55cm2

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