Question

Find the area of sector of a circle whose radius is 6 cm and length of corresponding arc is 12 cm.

Answer 1

$$\begin{gathered} Lengthofarc=\frac{\theta }{360}\times 2\mathrm{\pi r} \\ 12=\frac{\mathrm{\theta }}{360}\times 2\times \frac{22}{7}\times 6 \\ \mathrm{\theta }=\frac{360\times 7\times 2}{44}=114.54 \\ \mathrm{So}\mathrm{area}\mathrm{of}\mathrm{sector}=\frac{\mathrm{\theta }}{360}\times \frac{22}{7}\times 6^2=\frac{114.54}{360}\times \frac{22}{7}\times 36 \\ =35.99{\mathrm{cm}}^2 \end{gathered}$$