Question

The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4
through the ce
em. Find the radius of the circle.​

Answer 1

Answer:

3cm.

Step-by-step explanation:

Given,

Length of tangent AP=4 cm

Distance from center to the point P, OP= 5cm.

Let a circle C(o,r).

To find : Radius of circle, r

Solution:- As we know that tangent and radius are perpendicular to each other at the point of

contact. so,

In right∆AOP,

AO =√(5)² - (4)² [ Pythagoras theorem]

r = √25-16

r= √9

r= 3 cm.

Hence, The radius of circle is 3cm.