(a)[1]
Show that the larger circle has radius $\frac{r}{\sqrt{2}}$.
(b)[6]
Express the area of the shaded region using $r$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
A circle of radius $r$ is centred at $A$. The diameters $CAD$ and $BAE$ cross at right angles. A second, larger circle is centred at $B$ and passes through $C$ and $D$.