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      Question

      If a triangle with base 11 cm has the same area as a

      circle with radius 11 cm, then the corresponding altitude (in cm) of the triangle is:
      A 22 Ο€ cm Correct Answer Incorrect Answer
      B 24 Ο€ cm Correct Answer Incorrect Answer
      C 26 Ο€ cm Correct Answer Incorrect Answer
      D 20 Ο€ cm Correct Answer Incorrect Answer
      E 30 Ο€ cm Correct Answer Incorrect Answer

      Solution

      Using formula Area of triangle = 1/2 x base x height and Area of circle = πr2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle ⇒ 1a/2 x 11 = π x 11 x 11 ⇒a = 2 x 11 π ⇒a = 22 π cm

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