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    4. Geometry
    5. Two circles have radii of 18 cm and 32 cm, and they touch each other externally. What is the length

    Question

    Two circles have radii of 18 cm and 32 cm, and they touch

    each other externally. What is the length of a common tangent between them?
    A 22.5 cm Correct Answer Incorrect Answer
    B 48 cm Correct Answer Incorrect Answer
    C 40 cm Correct Answer Incorrect Answer
    D 20√2 cm Correct Answer Incorrect Answer

    Solution

    Let the length of the common tangent be ‘d’ cm

    Therefore, ‘d’ = 2 × √(r 1  × r 2 ) = 2 × √(18 × 32) = 2 × 24 = 48 cm

    Practice Next
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