Question

A sector of a circle with a radius '$18\mathrm{cm}$' has a central angle '$120°$'. Find the area of the sector. Use $\mathrm{\pi }=3.14$

Answer 1

Area of the sector:

Given: Radius($\mathrm{r}$)$=18\mathrm{cm}$

Central angle($\mathrm{\theta }$)$=120°$ and $\mathrm{\pi }=3.14$

$\Rightarrow$Area of sector of circle$\mathbf{=}\frac{\mathbf{\theta }}{\mathbf{360}\mathbf{°}}\mathbf{\times }\mathit{\pi }{\mathit{r}}^{\mathbf{2}}$

$=\frac{120°}{360°}\times 3.14\times 18\times 18$

$=\frac{1}{3}\times 3.14\times 18\times 18$

$=3.14\times 108$

$=339.12{\mathrm{cm}}^2$

Therefore, the area of the sector is $\mathbf{339}\mathbf{.}\mathbf{12}\mathbf{}\mathit{c}{\mathit{m}}^{\mathbf{2}}$