Mathematics

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}

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

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

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