A chord AB of a circle, of radius 14 cm makes an angle of 60° at the centre of the circle. Find the area of the minor segment of the circle.

Question

A chord AB of a circle, of radius 14 cm makes an angle of 60&#xB0; at the centre of the circle. Find the area of the minor segment of the circle.

Philoid · Accepted Answer

Radius of circle = 14cm

Angle = 60°

Area of sector =

= 102.57cm²

Area of triangle OAB =

So,

Area of minor segment = 102.57 – 84.77 = 17.80cm²