Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

The diagram shows that $AP$ is a tangent to the circle at $P$. $O$ marks the centre of the circle, $\angle PAO = 37^{\circ}$ and $AP = 11\,\text{cm}$.
(a)[1]

State the size of angle $OPA$.

(b)[2]

Calculate the radius of the circle.

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