Solution to #3-1

Paper 2 Difficulty: Medium

QB3_1In the following diagram, a circle has radius r (metres), and angle $latex \theta$ (radians), and centre O.
The area of the shaded sector is $latex \frac{6\pi }{5}$, and the length of the sector AB is $latex \frac{3\pi }{5}$.


a) Find the value of r.

[Maximum mark: 3]

b) Find the value of $latex \theta $.

[Maximum mark: 3]

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