Question

A tangent PQ at a point P of a circle of radius 6 cm meets a line through the centre O at a point Q such that OQ = 10 cm. Length PQ is :
O 8.5 cm
O 8 cm
O 12 cm
O 7 cm​

Answer 1

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Answer:

PQ = 10.9 cm

Step-by-step explanation:

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm

PQ is tangent at point P  =>   ∠P = 90°

Applying Pythagorus theorem

OQ² = OP² + PQ²

OP = radius = 5 cm

OQ = 12 cm

=> 12² = 5² + PQ²

=> PQ² = 144 - 25

=> PQ² = 119

=> PQ = 10.9 cm