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in Areas Related To Circles by (65.5k points)

Find the area of the shaded region in the given figure, where a 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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Best answer

OAB is an equilateral Triangle with side 12 Circle with radius of 6 

Each angle of an equilateral triangle is 60° 

Angle at the centre in segment, θ = 60° 

Area of Major segment + Area of an equilateral triangle OAB

= 94.28 + 36 × 1.73 

= 94.28 + 62.28 

= 156.56 sq. cm.

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