Multiple choice

Distance between two circles is 25 cm whereas there radius is 13 cm and 7 cm. Find the length of the common transverse tangent?

  1. 12cm

  2. 18cm

  3. 15cm

  4. 20cm

  5. 25cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For two circles with radii r₁=13 cm and r₂=7 cm, distance between centers d=25 cm. Length of transverse common tangent = √(d² - (r₁ + r₂)²) = √(25² - (13+7)²) = √(625 - 400) = √225 = 15 cm.

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