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      Question

      In a trapezium, the lengths of the parallel sides are 18

      cm and 24 cm, and the height is 12 cm. A circle is inscribed in the trapezium. Find the radius of the circle.
      A 4 cm Correct Answer Incorrect Answer
      B 5 cm Correct Answer Incorrect Answer
      C 6 cm Correct Answer Incorrect Answer
      D 7 cm Correct Answer Incorrect Answer

      Solution

      The radius of the inscribed circle in a trapezium is given by the formula: r = (h) / 2, where h is the height of the trapezium. Substitute the value of the height (12 cm): r = 12 / 2 = 6 cm.

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