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      Question

      A sector of a circle has a central angle of 120°. The

      radius of the circle is 14 cm. Find the area of the sector.
      A 156.5 cm² Correct Answer Incorrect Answer
      B 172.5 cm² Correct Answer Incorrect Answer
      C 184.67 cm² Correct Answer Incorrect Answer
      D 205.33 cm² Correct Answer Incorrect Answer

      Solution

      The area of a sector is given by the formula: Area = (θ / 360) × πr², where θ is the central angle in degrees and r is the radius. Area = (120 / 360) × π × 14² Area = (1/3) × 22/7 × 196 Area = 205.33 cm². Answer: d) 205.33 cm²

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