In a circle of radius 6 CM angle is 60 degree what is the area of sector ?

Dear Student,

Please find below the solution to the asked query:

We know : Area of sector of circle  = $\frac{\mathrm{Center} \mathrm{angle}}{360°}\times \mathrm{\pi } r^2$

So,

Area of given sector :

$$\begin{gathered} \frac{60°}{360°}\times \frac{22}{7} \times 6^2 \\ \Rightarrow \frac{1}{6}\times \frac{22}{7} \times 6 \times 6 \\ \Rightarrow \frac{22 \times 6}{7} \\ \Rightarrow \frac{132}{7} \\ \mathbf{\Rightarrow }\mathbf{18}\mathbf{.}\mathbf{857}\mathbf{ }\mathbf{\approx }\mathbf{ }\mathbf{18}\mathbf{.}\mathbf{86}\mathbf{ }{\mathbf{cm}}^{\mathbf{2}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }( \mathrm{Ans} ) \end{gathered}$$

Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards