Question

Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is

• A. $\frac{p}{180}\times 2\pi R$
• B. $\frac{p}{180}\times \pi R^2$
• C. $\frac{p}{360}\times 2\pi R$
• D. $\frac{p}{720}\times 2\pi R^2$

Answer 1

The correct option is D $\frac{p}{720}\times 2\pi R^2$

Area of a sector of angle $p=\frac{p}{360}\times \pi R^2=\frac{p}{360}\times \frac{2}{2}\times \pi R^2=\frac{p}{720}\times 2\pi R^2$