Find The Length of The Tangent ? If

A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

  1. 5 cm
  2. 8 cm
  3. 4 cm
  4. 7 cm
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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1 Answer(s)

Answer: (2) 8 cm

Explanation:-
Given-
Radius of the circle = 8 cm      &      distance from the point to the center of the circle = 10 cm

PQ2 = OQ2 – OP2    (by Pythagoras theorem)
Then, PQ2 = 102– 62
PQ2 = 100 – 36
PQ2 = 64
Square root on both sides,
PQ = 8 cm
Then, the length of the tangent is 8 cm.
Hence, the answer is (2) 8 cm

Anurag Mishra Professor Answered on 13th August 2015.
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