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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?┬а
      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 тИЪ(d┬▓ - r┬▓), where d is the distance from the external point to the center, and r is the radius. Substituting the values, тИЪ(17┬▓ - 8┬▓) = тИЪ(289 - 64) = тИЪ225 = 15 cm. Correct answer: d) 15 cm

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