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Math Help - Word problem in Arcs

  1. #1
    Member M670's Avatar
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    Word problem in Arcs

    Find the distance that the earth travels in one day in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles.

    so if I take 365 days and divide it by 360 degrees the earth moves ruffly 1.01 degrees per day then S=rθ
    93millionmiles times 1.01 but that doesn't make sense so if I take 1 degree which equal (pi/180) =.017 as my theta and multiply it by 93million i get 1623156.204 million miles

    Am I right?
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  2. #2
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    Re: Word problem in Arcs

    Hello, M670!

    You're confusing yourself with a lot of extra work.


    Find the distance that the Earth travels in one day in its path around the Sun. Assume that a year
    has 365 days and that the path of the Earth around the Sun is a circle of radius 93 million miles.

    The circumference of a circle with radius r is: . C \:=\:2\pi r

    The circumference of the circular orbit of the Earth is: . 2\pi(93,\!000,\!000) \:=\:186,\!000,\!000\:\!\pi miles.

    The Earth travels that distance in one year (365 days).

    In one day, it travels: . \frac{186,000,000\:\!\pi}{365} \:\approx\:1,\!600,\!921 miles.

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  3. #3
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    Re: Word problem in Arcs

    Yes, both are right.

    Salahuddin
    Maths online
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