20. Exemplar example problems I

1. If angle between two radii of a circle is \(130^\circ\), the angle between the tangents at the ends of the radii is:

 

2. In figure, the pair of tangents \(AP\) and \(AQ\) drawn from an external point \(A\) to a circle with centre \(O\) are perpendicular to each other and length of each tangent is \(5 \ cm\). Then, the radius of the circle is: