From P, tangents PA and PB are drawn to a circle with centre O and radius 5 cm, with OP = 13 cm. Find the length of the chord AB.

Question

Accepted Answer

120/13 cm. PA = 12 cm. OP is the perpendicular bisector of AB, meeting it at M. Area of right triangle OAP: 1/2 × 5 × 12 = 1/2 × 13 × AM, so AM = 60/13 and AB = 120/13 cm. 60/13 is only half the chord.

From P, tangents PA and PB are drawn to a circle with centre O and radius 5 cm, with OP = 13 cm. Find the length of the chord AB.

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