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      Question

      Area of sector of a circle whose radius is 21 cm, is

      327.25 cm 2 . Find the angle subtend by arc at the center of circle. (Use π = 22/7)
      A 85° Correct Answer Incorrect Answer
      B 75° Correct Answer Incorrect Answer
      C 95° Correct Answer Incorrect Answer
      D 65° Correct Answer Incorrect Answer

      Solution

      Area of sector = (A/360) X π X radius 2 , where 'A' is the angle subtended by arc at the centre

      So, (A/360) X (22/7) X 21 2  = 327.25

      Or, (A/360) X 1,386 = 327.25

      Or, 'A' = 85

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