Question

Write the area of a sector of a circle with radius $r$ and angle with degree measure $\theta$.

Answer 1

Area of a circle of radius $r$ is $\pi r^2$

or Area of a sector subtending angle ${360}^o$ at center is $\pi r^2$

Hence, Area of a sector subtending angle $\theta$ at center is $A=\frac{\theta }{360}\times \pi r^2$