The length of the tangent to a circle from a point P,which is 25 cm away from the centre is 24 cm.What is the radius of the circle?

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Text solutionVerified

Let AP be a tangent drawn from P to a circle with centre O such that AP = 24 cm and OB = 25 cm.

In right angled

△

OAB,

O P^{2} = O A^{2} + A P^{2}

2 5^{2} = O A^{2} + 2 4^{2}

O A^{2} = 49

O A = 7

Hence, the radius of circle is 7 cm.

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Question Text	The length of the tangent to a circle from a point P,which is 25 cm away from the centre is 24 cm.What is the radius of the circle?
Answer Type	Text solution:1
Upvotes	150