# CBSE Class 10 Answered

**if length of tangent from a point at distance of 5 cm from center of circle is 4 cm.find radius of the circle ?**

Asked by Abhijeet abhijeet | 23 Dec, 2013, 10:25: PM

Expert Answer

Consider the given figure.

Given :

Length of tangent = AP = 4 cm

Distance of point from center of circle = OP = 5cm

To Find:

Radius of the circle = OA

Property : Tangent is perpendicular to the line drawn from the center of the circle.

Thus, the triancgle OAP is right angled at A.

Applying pythagoras theorem to the triangle OAP,

Thus, the radius of the circle is 3cm.

Answered by Vimala Ramamurthy | 24 Dec, 2013, 08:50: AM

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