(a)[2]
Calculate the perimeter of the coin.
(b)[4]
Calculate the area of face $ABC$ of the coin, and give your answer in terms of $\pi$ and $\sqrt{3}$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram illustrates a coin’s outline. The arcs $AB$, $BC$ and $CA$ are each sections of circles whose centres are $C$, $A$ and $B$ respectively. $ABC$ is an equilateral triangle with side length $2\,\text{cm}$.