A chord of a circle of radius subtends an angle of at the centre

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A chord of a circle of radius

10\,\text{cm}

subtends an angle of

120^{\circ}

at the centre. Using

\pi=3.14

and

\sin 120^{\circ}=0.866

, find the area of the major segment (correct to one decimal place). (a)

209.3\,\text{cm}^{2}

(b)

61.4\,\text{cm}^{2}

(c)

252.6\,\text{cm}^{2}

(d)

148.0\,\text{cm}^{2}