Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts a part of a circle with centre $O$ and radius $6\text{ cm}$. The chord $AB$ is arranged so that angle $AOB = 2.2$ radians.

(i)[3]

Calculate the perimeter of the shaded region.

(ii)[3]

Calculate the ratio of the area of the shaded region to the area of the triangle $AOB$, and give your answer in the form $k : 1$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies arc length formula $s=r\theta$” …