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      Question

      A circle has a radius of 21 cm and the area of its

      sector is 308 cm². Find the angle subtended by the arc at the center of the circle. (Use π = 22/7)
      A 75° Correct Answer Incorrect Answer
      B 80° Correct Answer Incorrect Answer
      C 90° Correct Answer Incorrect Answer
      D 60° Correct Answer Incorrect Answer

      Solution

      Area of sector = (A/360) X π X radius2, where 'A' is the angle subtended by arc at the centre So, (A/360) X (22/7) X 212 = 308 Or, (A/360) X 1,386 = 308 Or, 'A' = 80

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