Two circles of diameters 2 cm and 5.6 cm are such that the distance between their centers is 8.2 cm. What is the length of a common tangent to the circles that does not interest the line joining the centers?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 8 cm
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Concept |
Understanding |
Application |
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Formula: The length of a direct common tangent = √[D2 − (R1 - R2)2] Where, D = Distance between centres of circles |
Given R1 = 2/2 = 1 cm R2 = 5.6/2 = 2.8 cm D = 8.2 cm |
Applying the formula: ⇒ √[(8.2)2 − (2.8 – 1)2] ⇒ √(67.24 – 3.24) ⇒ √64 ⇒ 8 |