# Solution to #3-1

Paper 2 Difficulty:Medium

In the following diagram, a circle has radius r (metres), and angle $\theta$ (radians), and centre O.
The area of the shaded sector is $\frac{6\pi }{5}$, and the length of the sector AB is $\frac{3\pi }{5}$.

a) Find the value of r.

[Maximum mark:3]

b) Find the value of $\theta$.

[Maximum mark:3]