Multiple choice

Two circles with radii 36cm and 16 cm touch each other externally .The length of the direct common tangent is ?

  1. 48

  2. 28

  3. 20

  4. 24
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A Correct answer
Explanation

For two circles touching externally with radii R and r, direct common tangent length = 2√(Rr). Here R = 36, r = 16, so length = 2√(36 × 16) = 2√576 = 2 × 24 = 48 cm.

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