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. $\frac P{180} \times2πR$
• B. $\frac{P}{180}\times π R^2$
• C. $\frac P{360} \times 2π R$
• D. $\frac P{ 270} \times 2π R^2$

Answer 1

Answer: (D)

$\frac P{ 270} \times 2π R^2$

Answer 2

We know that area of sector of angle θ = $\frac{θ}{360°} \times \pi r^2$

Area of sector of angle P =$\frac P { 360°}\times (\pi R^2)$ =$(\frac{P}{720°)} (2 \pi R^2)$

Hence, (D) is the correct answer.