A tangent PQ at a point P of a circle of radius 7 cm meets a line through the centre o at
a point Q so that PQ = 24 cm. Find the value of length OQ.
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Answer: 25 cm
Step-by-step explanation:
Draw a circle and mark any point on its circumference as P
Draw tangent PQ = 24 cm
Join OQ, hence Triangle OQP is right-angled triangle
Thus, from pythagoras theorem:-
OP^2 + QP^2 = OQ ^2
24^2 + 7^2 = OQ ^2
576 + 49 = OQ ^2
625 = OQ ^2
OQ = 25 cm
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