Question
The distance between the centers of two circles of radii
4 cm and 2 cm is 10 cm. The length (in cm) of a transverse common tangent is:Solution
The radius of the first circle (r1) = 4 cm Radius of the second circle (r₂) = 2 cm Distance between centers (d) = 10 cm L2= d² (r1+r2)2 L2=102-(4+2)2 L2= 100-36 L2=64 L= 8 The length of the transverse common tangent is 8 cm.
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