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

The Correct Option is D

The area of a sector with angle θ is given by: \(\frac{θ}{360°} \times \pi r^2\)

The area of a sector with angle P is calculated as: \(\frac P { 360°}\times (\pi R^2)\) which simplifies to \( (\frac{P}{720°)} (2 \pi R^2)\)

Therefore, (D) is the correct option.