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Question

 The length of the tangent drawn to a circle with radius 7 cm from a point 25 cm away from the centre is ___ cm.


Solution

ABO=90  [point of contact]

Using Pythagoras theorem in ABO

AO2=AB2+BO2

252=AB2+72

AB2=25272

AB2=576

AB=24 cm

Hence, length of the tangent =24 cm

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