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31 December, 02:55

What is the area of a sector that has a radius of 25 mm and has an angle measure of 50°?

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  1. 31 December, 03:15
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    The area of the sector is 272.57mm²

    Step-by-step explanation:

    First we need to calculate the area of the circle

    To solve this we need to use the area formula of a circle:

    a = area

    r = radius = 25mm

    π = 3.14

    a = π * r²

    we replace with the known values

    a = 3.14 * (25mm) ²

    a = 3.14 * 625mm²

    a = 1962.5 mm²

    The area of the circle is 1962.5 mm²

    Now we have to calculate the fraction that corresponds to this sector with respect to the total, knowing that a circle is represented with 360°

    50° / 360° = 5/36

    we multiply this fraction by the area of the circle

    sector area = 5/36 * 1962.5 mm²

    sector area = 272.57mm²

    The area of the sector is 272.57mm²
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