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    Question

    Two tangents are drawn from an external point to a

    circle with radius 8 cm, and the distance between the external point and the center of the circle is 17 cm. What is the length of each tangent? 
    A 9 cm Correct Answer Incorrect Answer
    B 11 cm Correct Answer Incorrect Answer
    C 13 cm Correct Answer Incorrect Answer
    D 15 cm Correct Answer Incorrect Answer

    Solution

    The length of the tangent from an external point to a circle is given by √(d² - r²), where d is the distance from the external point to the center, and r is the radius. Substituting the values, √(17² - 8²) = √(289 - 64) = √225 = 15 cm. Correct answer: d) 15 cm

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