Mathematics

Problem

Which one of the following gives the area of a sector of a circle of radius

r

that subtends an angle

\theta

(in degrees) at the centre? a)

\dfrac{\theta}{180}\,\pi r^{2}

\dfrac{\theta}{360}\,\pi r^{2}

\dfrac{\theta}{360}\,2\pi r

\dfrac{\theta}{2\pi}\,r^{2}