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10 March, 23:55

If a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.

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  1. 11 March, 00:11
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    For this case the area of the sector is given by:

    A = (S ' / S) * (pi) * (r ^ 2)

    Where,

    S ' / S = relation of arcs

    r: radius of the circle

    Substituting values we have:

    A = (7.4/360) * (3.14) * (13 ^ 2)

    A = 10.9080111

    Rounding off we have:

    A = 10.9 cm^2

    Answer:

    the area of sector is:

    A = 10.9 cm^2
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