What is the length (in cm) of the transverse common tangent between two circles with radii 6 cm and 4 cm, given that the distance between their centres is 14 cm?
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 4√6.
Two circles with radii 6 cm and 4 cm.
The distance between their centers is 14 cm.
Transverse common tangent = (√D2 - (r1 + r2)2)
We have,
D = 14 cm
r1 = 6 cm and r2 = 4 cm
Now, using the above formula we get,
⇒ Transverse common tangent = (√142 - (6 +4)2)
⇒ (√196 - 100)
⇒ √96 = 4√6