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From a point Q, the length of tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm, radius of circle is : 
  • a)
    10 cm
  • b)
    8 cm
  • c)
    7 cm
  • d)
    6 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
From a point Q, the length of tangent to a circle is 24 cm and the dis...
Here ∠OPQ = 90° [Tangent makes right angle with the radius at the point of contact]
∴ OQ2 = OP2 + PQ2 (25)2 = OP2 + (24)2
⇒ OP2 = 676 - 576 = 49
⇒ OP = 7 cm Therefore, the radius of the circle is 7 cm 
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