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    Question

    From a circle with the radius of 15.75 cm, a sector with

    the arc length of 11 cm is cut off. Find the area (in cm²) of this sector. 
    A 86.525 Correct Answer Incorrect Answer
    B 86.625 Correct Answer Incorrect Answer
    C 86.875 Correct Answer Incorrect Answer
    D 86.125 Correct Answer Incorrect Answer

    Solution

    The formula for the arc length is l = rθ, where r = 15.75 cm and l = 11 cm. θ = l/r = 11/15.75 ≈ 0.6984 radians The area of the sector is given by A = 1/2 r²θ A = 1/2 × (15.75)² × 0.6984 ≈ 12 × 248.0625 × 0.6984 ≈ 86.6234 cm² The area of the sector is approximately 86.5586.5586.55 cm².

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