Question

A chord of a circle of radius $15$ cm subtends an angle of ${120}^o$ at the centre. Find the area corresponding minor sector of the circle.

Answer 1

Angle at center ${120}^{\circ }$

Radius of circle $15m$

Area of sector is $\frac{120}{360}\times \pi \left(15{)}^2\frac{1}{3}\pi \right(225)=75\pi$