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7 February, 04:19

The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of π is 3.14. Determine the measure of the angle of the sector.

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  1. 7 February, 04:43
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    The are of a sector of a circle can be obtained using the following equation:

    A = (n/360) * pi*r^2

    where:

    A = area = 125.6 cm^2

    n = measure of the angle of the sector

    r = radius = 8 cm

    Substituting the given values:

    125.6 = (n/360) * pi * (8^2)

    n = 224.89 degrees
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