Question

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

• A. $\frac{\theta }{180}\times 2\pi R$
• B. $\frac{\theta }{180}\times \pi R^2$
• C. $\frac{\theta }{3600}\times 2\pi R$
• D. $\frac{\theta }{720}\times 2\pi R^2$

Answer 1

Answer: (D)

$\frac{\theta }{720}\times 2\pi R^2$

Area of a sector with angle $p$ $=\frac{\theta }{360}\times \pi R^2$
$=\frac{\theta }{360\times 2}\times \pi R^2\times 2$
$=\frac{\theta }{720}\times 2\pi R^2$
Hence, Option $D$ is correct