(a)[3]
Find the perimeter of the plate, giving your answer in terms of $\pi$.
(b)[4]
Find the area of the plate, giving your answer in terms of $\pi$ and $\sqrt{3}$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a metal plate $ABC$ whose boundary is formed by the straight side $AB$ together with the arcs $AC$ and $BC$. The length of $AB$ is $6\text{ cm}$. Arc $AC$ is an arc of a circle centred at $B$ with radius $6\text{ cm}$, and arc $BC$ is an arc of a circle centred at $A$ with radius $6\text{ cm}$.