Question

Find the radius of the sector if its area is 144 $c{m}^2$ and the arc. contains 4/9 radians.

Answer 1

$A=\pi R^2$

$\theta =\frac{4}{9}$

$A^{\prime }=\frac{\theta }{2\pi }A$

$⟹A^{\prime }=\frac{4}{18\pi }.144$

$⟹A^{\prime }=\frac{32}{\pi }c{m}^2$