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    Question

    The area of the sector of a circle of radius 15 cm is 45

    π cm² Find the length of the corresponding Arc of the sector.
    A 9 π Correct Answer Incorrect Answer
    B 6 π Correct Answer Incorrect Answer
    C 12 π Correct Answer Incorrect Answer
    D 16 π Correct Answer Incorrect Answer

    Solution

    Area of a sector = (π × R2 × θ )/360 45 π = (π × (15) ² × θ )/360 45 x 360 = (225 × θ) θ = (45 x 360)/225 θ = 72° Length of an arc = (2 x Π x R x θ )/360 = (2 × π × 15 × 72)/360 = (72/12) × π =6 π cm.

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