Question
A and B are centres of two circles of radii 32 cm and 8
cm, respectively. CD is a direct common tangent to the circles. If the length of AB = 30 cm, then the length of CD will be:Solution
ATQ,
Given: Radius of the first circle (r₁) = 32 cm Radius of the second circle (r₂) = 8 cm Distance between the centers of the two circles (AB) = 30 cm Formula used: Length of the direct common tangent (L) is given by: 
Calculations: Substitute the given values: 
∴ The length of CD is 18 cm.
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