(a)[1]
State the measure of angle $OPA$.
(b)[2]
Calculate the radius of the circle.
Mathematics 0580 · IGCSE · Circle theorems II
Circle theorems II — practice question
Here, $AP$ touches the circle at $P$, so $AP$ is a tangent. $O$ is the circle’s centre, $PAO = 37^\circ$ and $AP = 11$ cm. The diagram is not drawn to scale.