Question

The area of a sector of angle θ° of a circle of radius r is _________.

Answer 1

Radius of the sector = r

Angle of the sector = θ

∴ Area of the sector = $\frac{\theta }{360°}\times \mathrm{\pi }{r}^2=\frac{\mathrm{\pi }{r}^2\theta }{360°}$

The area of a sector of angle θ° of a circle of radius r is $\underline{\frac{\mathrm{\pi }{r}^2\theta }{360°}}$.