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.
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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.
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