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24 March, 08:53

The circumference of a circular stage is 157 feet. If Chris paints the stage at a rate of 400 square feet per hour, how long would it take to the nearest hour, for Chris to paint the entire stage?

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  1. 24 March, 09:02
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    We need the circumference and area of the circle equations:

    c = 2*pi*r

    a = pi*r^2

    lets find the radius from the first equation:

    r = c/2*pi

    r = 157 / (2*3.14)

    r = 24.99 ft

    now lets calculate the area:

    a = pi*r^2

    a = 3.14 * (24.99) ^2

    a = 1960.93 ft^2

    Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:

    time = 1960.93/400

    time = 4.9 hours

    that would be 5 hours rounded to the nearest hour
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