Find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3 cm.

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asked Jan 12, 2018 in Class X Maths by priya12 (-10,398 points)
Find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3 cm.

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1 Answer

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answered Jan 12, 2018 by akansha Expert (2,171 points)

Given: PQ is a tangent to the circle intersect at Q. OP = 5 cm and OQ = 3 cm.
To find: PQ
Proof:
In rt.△ OQP, by Pythagoras theorem

Therefore the length of the tangent from a point is 4 cm.     
    
     
    

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