Circle Theorems

19%

$P\,$ and $R\,$ are points on the circumference of a circle, centre $O$ . $PQ\,$ and $RQ\,$ are tangents to the circle.

Angle $52^\circ$

Radii $OP\,$ and $OR\,$ are drawn from the centre to the circumference.

Find the size of angle $O P R$ .

Give reasons for each stage of your working.

[4]

19%

$P\,$ and $R\,$ are points on the circumference of a circle, centre $O$ . $PQ\,$ and $RQ\,$ are tangents to the circle.

Angle $52^\circ$

Radii $OP\,$ and $OR\,$ are drawn from the centre to the circumference.

Find the size of angle $O P R$ .

Give reasons for each stage of your working.

[4]

Circle Theorems Questions