Question

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.

Answer 1

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.