4MA0 Higher January 2013 Paper 4 Q22

EdexcelHigherOld spec4 marksCircle Theorems

22

Circle centre O with points A, B and C on it; angle ACB = 76°; tangents PA and PB meet at P outside the circle; radii OA and OB drawn

Diagram NOT accurately drawn

\(A\), \(B\) and \(C\) are points on a circle, centre \(O\).
Angle \(ACB\) = 76°
\(PA\) and \(PB\) are tangents to the circle.

Calculate the size of angle \(APB\).

(4)