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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 cm┬▓ Correct Answer Incorrect Answer
    B 30 cm┬▓ Correct Answer Incorrect Answer
    C 35 cm┬▓ Correct Answer Incorrect Answer
    D 78.57 cm┬▓ Correct Answer Incorrect Answer

    Solution

    The area of a sector is given by the formula: Area of Sector = (╬╕/360) ├Ч ╧Аr┬▓ Where ╬╕ is the central angle in degrees, and r is the radius of the circle. Substitute the given values: Area of Sector = (90/360) ├Ч 22/7 ├Ч 10┬▓ Area of Sector = (1/4) ├Ч 22/7 ├Ч 100 Area of Sector = 78.57 cm┬▓ Correct Option: d) 78.57 cm┬▓

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