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21 May, 07:30

The largest wheel of a penny-farthing - the precursor to the modern bicycle - has a diameter of 1.5 meters. If the largest wheel of a penny-farthing has rotated 75 times, about how far has a person on a penny-farthing ridden?

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  1. 21 May, 07:59
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    So first find the circumference

    circumfernece=2 times pi times radius

    2 times radius=diameter

    diameter=1.5

    using associative property of multipication which is a (bc) = (ab) c

    so

    c=2 times pi times r

    c=pi times (2 times r)

    c=pi times diameter

    c=pi times 1.5

    circumference is 1.5pi

    multiply by 75

    112.5pi is the answer

    (pi is aprox 3.14 so 112.5 times 3.14=353.25 meters)

    the answer is 112.5π meters or aprox 353.25 meters
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