Question

the length of tangents to a circle which is 13 distance from the circle is 12cm.find the radius of the circle​

Answer 1

Step-by-step explanation:

13²=12²+raduis²

169=144+radius²

169-144=radius²

25=radius²

5=radius

Answer 2

The radius of the circle is 5 cm.

Explanation:

We know that the tangents drawn to a circle from an external point is perpendicular to the radius of the circle at the point of intersection.

Let O be the center of circle , P be the point from which tangent is drawn and R is the point of intersection of radius and tangent.

Then, ΔPOR is a right triangle.

Given : Length of tangents to a circle = PR= 12 cm

PO= 13 cm

To find OR .

By Pythagoras theorem , we have

$OR^2=PO^2-PR^2\\\\ OR^2=13^2-12^2=169-144-25\\\\ OR =\sqrt{25}=5$

Hence, the radius of the circle is 5 cm.

# Learn more :

PA and PB are tangents to the circle. find the length of PA.​

https://brainly.in/question/14561502