Question

Area of a sector of a circel of radius 15cm is $30c{m}^2$. Find the length of the arc of the sector.

Answer 1

$R=15cm$ Area of sector $=30c{m}^2$
$30=\frac{\pi {12}^2}{2\pi }\times \theta$
$30=\frac{{15}^2}{2}\times \theta$
$\theta =\frac{4}{15}$
are length $=\frac{2\pi }{2\pi }\times \frac{4}{15}$
$=4cm$