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      Question

      In a circle, the length of a chord is 20 cm, and the

      perpendicular from the center to the chord divides it into two equal parts. If the distance from the center to the chord is 12 cm, find the radius of the circle.
      A 15.6 cm Correct Answer Incorrect Answer
      B 15.6 cm Correct Answer Incorrect Answer
      C 17.5 cm Correct Answer Incorrect Answer
      D 18 cm Correct Answer Incorrect Answer

      Solution

      Let the radius of the circle be r. The half-length of the chord is 20/2 = 10 cm, and the distance from the center to the chord is 12 cm. Using Pythagoras' theorem: r² = 10² + 12² r² = 100 + 144 r² = 244 r = √244 ≈ 15.6 cm Correct option: A) 15.6 cm

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