Question

Find the area of the minor segment of a circle of radius $42cm$, if length of the corresponding arc is $44cm$

Answer 1

Radius of Arc $=42cm$

Length of arc $44=\frac{x}{360}\times 2\pi r44=\frac{x}{360}\times 2\times \frac{22}{7}\times 42\frac{x}{360}=\frac{1}{6}x={60}^{\circ }$

Area of minor sector is given as $\frac{60}{360}\times \frac{22}{7}\times {42}^{2}22\times 42=924c{m}^2$