an equilateral triangle has been inscribed in a circle of radius 6 cm.

Find the area of the shaded region. [Use = 3.14]

Draw a perpendicular bisector OP from point O to BC.

AB = BC = CA = 6 cm

Area of ΔABC =

BAC = 60(equilateral triangle)

BP = PC =

In ΔBOC,

BOC + OBC + OCB = 180

⇒ 120 + OBC + OBC = 180

⇒OBC =

⇒OBC = 30

∴ Radius of the circle =

area of the circle

∴ Area of the remaining (shaded) part = Area of the circle Area of the equilateral triangle