Question

Find the area of a sectors of a circle with radius $14cm$,If the length of the corresponding arc is $22cm$?

Answer 1

Radius $=14cm$

Length of arc $=22cm$

$\frac{2\times \pi \times r\times A}{360}=22$

=> $\frac{2\times 22\times 14\times A}{7\times 360}=22$

=> $44\times 2\times A=22\times 360$

=> $A=\frac{22\times 360}{44\times 2}$

=> $A=90°$

$AREA=\frac{\pi \times r^2\times 90}{360}$

$=\frac{22\times 14\times 14\times 90}{7\times 360}$

$=\frac{22\times 2\times 14}{4}$

$=11\times 14$

$=154c{m}^2$