Q. 12 E5.0( 5 Votes )

The lengths of radii of two circles are 8cm and 3 cm and distance between two centre is 13 cm. let us find the length of a common tangent of two circles.

Answer :

Capture.JPG


A and B are the centre of the two circles


CD is the common tangent


Radius of circle A = 8 cm


Radius of circle B = 3 cm


AB = 13 cm


Since ED AB so


ED = 13 cm


EC = (8-3) = 5cm


Applying Pythagoras theorem in Δ CED we get


Length of tangent = √(132-52)


Length of tangent = √ 144 = 12 cm


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