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, 22:25: PM
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,
![](http://beta.topperlearning.com/tpadmin/js/tinymce/jscripts/tiny_mce/plugins/tiny_mce_wiris/integration/showimage.php?formula=b1711353bf62cd7760e70d4dc48766f2.png)
Thus, the radius of the circle is 3cm.
Answered by Vimala Ramamurthy | 24 Dec, 2013, 08:50: AM
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