Find the length of a tangent drawn to a circle, with radius 5 cm, from a point 13 cm away from the centre of the

Answer


Sneha
Exploring new things...
Saturday, 28 November 2020 08:47 AM

Solution :

We have the radius = cm and the distance from the centre of the circle to the point from where the tangent is drawn = 13 cm.

Let AB = radius = cm

Let BC = point from the centre from where the tangent is drawn = 13 cm

From tangent theorem :-

  • tangent at any point of circle is perpendicular to the radius at the point of contact.

° In ? ABC, m  = 90°

° ? BAC is a right angled triangle.

By Pythagoras theorem :

Hypotenuse = BC = 13 cm

Side = AB = cm

Side = AC = cm

Block in the values,

° Length of tangent = = 12 cm