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      Question

      Find the area of the sector of a circle with radius 14

      cm and central angle 90°.
      A 49 cm² Correct Answer Incorrect Answer
      B 49 cm² Correct Answer Incorrect Answer
      C 7π cm² Correct Answer Incorrect Answer
      D 14π cm² Correct Answer Incorrect Answer

      Solution

      The area of the sector is given by: Area of sector = (θ/360) × π × r², where θ is the central angle, and r is the radius. Given: r = 14 cm and θ = 90°. Area of sector = (90/360) × π × 14² = 1/4 × π × 196 = 49π cm² Correct option: B) 49π cm²

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