a tangent PQ at apoint P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ =13 cm. Find the length of PQ
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Answer:Given,
Radius OP=5cm and OQ=12cm
PQ is the tangent to the circle.
∠OPQ=90
0
So,by Pythagoras theorem we get,
PQ
2
=OQ
2
−OP
2
=>PQ
2
=12
2
−5
2
=>PQ
2
=144−25
=>PQ
2
=119
=>PQ=
119
cm
Step-by-step explanation:
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