Circumference of Earth: 40,075 Miles

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question:how many miles around the world via the Poles ?

is it circumference of he earth..?
 
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This is not a tutorial so I am moving it- not entirely sure where it belongs but I think I will put it in "Homework- other sciences".

Yes, as far as you can approximate the world by a sphere, any great circle, including through the two poles will have length equal to the circumference of the earth.
 
Although the Earth is close to a perfect sphere, the equatorial raidus (6.38 x 10^6 m) is slightly bigger than the polar radius (6.36 x 10^6 m)