Question

Find the area of the sector of circle which substands an angle of ${150}^o$ at the centre, if the radius of the circle is $6cm$.

Answer 1

Area of sector$=\frac{1}{2}{r}^2\theta$

where,

$\theta =150\times \frac{\pi }{180}=\frac{5\pi }{6}$

$r=6cm$

Area of sector$=\frac{1}{2}\times 6^2\times \frac{5\pi }{6}$

$=15\pi c{m}^2$