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    Question

    The area of a sector of a circle is 144╧А cm┬▓, and the

    radius of the circle is 24 cm. Find the angle of the sector in radians.
    A ╧А/2 Correct Answer Incorrect Answer
    B ╧А/3 Correct Answer Incorrect Answer
    C 2╧А/3 Correct Answer Incorrect Answer
    D ╧А Correct Answer Incorrect Answer

    Solution

    The area of a sector is given by the formula: Area = (╬╕/360) ├Ч ╧Аr┬▓ Given: Area = 144╧А cm┬▓, radius = 24 cm. 144╧А = (╬╕/360) ├Ч ╧А ├Ч 24┬▓ 144╧А = (╬╕/360) ├Ч ╧А ├Ч 576 144 = (╬╕/360) ├Ч 576 ╬╕ = 90 So, the angle is: 90 A) ╧А/2

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