IB Geometry and Trigonometry Problem 001
The figure is not to scale.
Circle with centre \(O\) and radius equal to \(r\) cm.
Points \(A\) and \(B\) are located on the circumference of the circle and \(\angle AOB = \theta\). The area of the shaded sector \(AOB\) is \(12 cm^2\) and the length of arc \(AB\) is \(6 cm\).
Find the value of \(r\).