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The distance between the centres of two circles of radii 6 cm and 3 cm is 15 cm. The length of the transverse common tangent to the circles is :
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- 12 cm
- 6√6 cm
- 7√6 cm
- 18 cm
- 12 cm
Correct Option: A
As per the given in question , we draw a figure of two circles of radii 6 cm and 3 cm
Here , Direct between centres = 15 cm
Length of common transverse tangent = √(Direct between centres)² - (r1 + r2)²
Length of common transverse tangent = √15² - (6 + 3)²
Length of common transverse tangent = √225 - 81
Length of common transverse tangent = √144 = 12 cm.
