Question

A point P is 25cm from the center O of the circle.the length of the tangent drawn from P to the circle is 24cm find the radius os the circle ​

Answer 1

We know tangents drawn from external point are equal.

we also know that, tangent when touvhes the radius of circle at point of contact is perpendicular.

Therefore, we can say that it forms right triangle.

Now by Pythagoras theorem,

${25}^{2} - {24}^{2} = {os}^{2}$

$625 - 576 = {os}^{2}$

$49 = {os}^{2}$

$7 = os$

Radius of ⭕ is equal to ➡➡➡➡ 7cm