Question

the length of tangent to a circle which is 13 cm distance from the centre of the circle is 12 cm Find the radius of the circle​

Answer 1

Answer:

it will be

$\sqrt{ {13}^{2} + {12}^{2} } \\ \sqrt{169 + 144 } \\ \sqrt{313}$

this is the answer

Answer 2

The radius of the circle is 5 cm.

Explanation:

We know that the tangent drawn to a circle make right angle with to the radius of the circle at the point of intersection.

So the triangle made by radius and tangent and the side joining tangent to center of circle is a right triangle , where hypotenuse = line joining center and tangent = 13 cm

Let r be the radius of the circle.

Since length of tangent is 12 cm

Then by Pythagoras theorem ,

$r^2=(13)^2-1262=169-144=25\\\\\Rightarrow r=5$

Hence,  the radius of the circle is 5 cm.

# Learn more :

The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm, then find the distance from point P to the centre of the circ

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