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    Question

    A sector of a circle has a central angle of 90°. If the

    radius of the circle is 10 cm, what is the area of the sector?
    A 25 cm² Correct Answer Incorrect Answer
    B 30 cm² Correct Answer Incorrect Answer
    C 35 cm² Correct Answer Incorrect Answer
    D 78.57 cm² Correct Answer Incorrect Answer

    Solution

    The area of a sector is given by the formula: Area of Sector = (θ/360) × πr² Where θ is the central angle in degrees, and r is the radius of the circle. Substitute the given values: Area of Sector = (90/360) × 22/7 × 10² Area of Sector = (1/4) × 22/7 × 100 Area of Sector = 78.57 cm² Correct Option: d) 78.57 cm²

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