Which of the following expressions gives the area of a sector of radius subtending an…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Which of the following expressions gives the area of a sector of radius

r

subtending an angle

\theta

(in degrees) at the centre of a circle? (a)

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

(b)

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

(c)

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

(d)

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