Question

The area of a sector is one twelfth that of the complete circle. Find the angle of that circle.

Answer 1

Let radius of circle be 'r'. Then, area of circle$=\pi r^2$

Area of sector$=\frac{1}{12}\times \pi r^2$

$\Rightarrow \frac{\theta }{360°}\times \pi r^2=\frac{1}{12}\pi r^2\Rightarrow \theta =\frac{360°}{12}=30°$