Question 16
The diagram shows a sector $ABC$ of a circle with centre $A$ and radius $r$ cm. The angle $BAC$ is $\alpha$ radians, where $0 < \alpha < \frac{1}{2}\pi$.
**(b)** It is given instead that the length of the chord $BC$ is $\dfrac{1}{\sqrt{2}}r$ cm but the area of the triangle $ABC$ is still $4\ \text{cm}^2$.
Find the area of the shaded segment. Give your answer correct to 3 significant figures.
