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:

5 cm.

Step-by-step explanation:

Given: length of tangent = 12 cm.

Distance of the tangent from the centre of the circle = 13 cm.

Radius of the circle = √13² - 12²

= √169 - 144

= √25 = 5 cm.

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Answer 2

The radius of the circle is 5 cm.

Explanation:

Given : Length of tangent to a circle  = 13 cm

Distance from the centre of the circle =12 cm

Let r be the radius of the circle.

• We know that the tangent drawn to a circle is perpendicular to the radius .

It means the triangle made by joining radius , tangent and the center of circle will be a right triangle.

Here , hypotenuse = line joining centre of the circle and tangent

Then by Pythagoras theorem , we have

$r^2=13^2-12^2=169-144=25\\\\ r^2=25\\\\ r=5$ [Distance cannot be negative]

Hence, the radius of the circle is 5 cm.

# Learn more:

The length of the tangent from a point A to a circle of radius 9 cm is 12 cm. find the distance of A from the centre of the circle

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