Question

A tangent pq at point p of a circle of radius 12 cm meets A line through the centre o to a point q so that oq=20 cm. Find the length of pq

Answer 1

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Radius = 12cm

OQ = 20cm

angle OPQ = 90 degree (tangent at the point of contact is perpendicular to the radius)

.Using Pythagoras theorem

OQ^2 = OP^2 + PQ^2

(20)^2 = (12)^2 + PQ^2

PQ^2 = (12)^2 + PQ^2

PQ^2 = 400 - 144

PQ^2 = 256

PQ = 16cm

Answer 2

Answer:

PQ is 16cm

Step-by-step explanation:

Given that,

radius = 12cm

OQ = 20cm

PQ = ?

OP = 12cm

By Pythagoras Theorem

OQ² = PQ² + OP²

20² = PQ² + 12²

400 = PQ² + 144

400 - 144 = PQ²

256 = PQ²

16 = PQ

∴ PQ = 16cm