Question

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

Answer: (D) $\frac{p}{720}\times 2\pi R^2$

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