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What is the radius of a circle whose circumference is ##16π##?

    ##8##

    The circumference of a circle is equal to ##pi##, which is a number ##~~3.14##, multiplied by the diameter of the circle.

    Therefore, ##C=pid##.

    We know that the circumference, ##C##, is ##16pi##, so we can say that:

    ##16pi=pid##

    We can divide both sides by ##pi## to see that ##16=d##.

    We now know that the diameter of the circle is ##16##.

    We also know that the diameter has twice the length of the radius.

    In equation form: ##2r=d##

    ##2r=16##

    ##color(red)(r=8##

    Note that since ##2r=d##, the equation ##C=2pir## holds and can be used in place of ##C=pid##.

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