Question

What is the area of a sector of central angle 120° in a circle of radius 3 centimetres? What is the area of a sector of the same central angle in a circle of radius 6 centimetres?

Answer 1

Area of the sector in the circle having radius 3 cm and angle of center 120°

\(=\pi \times3^2\times \frac{120}{360}=3\pi\) cm²

Area of the sector in the circle having radius 6 cm and angle of center 120°

\(=\pi \times6^2\times \frac{120}{360}=12\pi\) cm²