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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.

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Solution

ABO= 90 (point of contact)

Using Pythagoras theorem

AO2= AB2+ BO2

252= AB2+ 72

252 - 72 = AB2

24= AB

length of the tangent = 24 cm


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