AB is a chord of length 9.6cm of a circle with centre O and radius 6 cm. If the tangents at A and B intersect at point P then find the length PA.

Given that: AB = 9.6 cm nd radius OA = 6 cm

Construction: join OP

 is isosceles and so PO is angle bisector of. So,


AR = RB = ½ AB = 4.8 cm

Also, in , using Pythagoras theorem,


Hence, the length of PA is 8 cm.

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