The distance between the centres of two circles of radius 2.5 cm each is 13 cm. the length (in cm) of a transverse common tangent is:
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 12
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Concept |
Understanding |
Application |
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Formula: The length of a transverse common tangent = √[D2 − (R1 + R2)2] Where, D = Distance between centres of circles |
Given R1 = R2 = 2.5 cm D = 13 cm |
Applying the formula: ⇒ √[(13)2 − (2.5 + 2.5)2] ⇒ √(169 − 25) ⇒ √144 ⇒ 12 cm |