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How does one calculate Earths circumference based on latitude?

April 26, 2017Astronomy based CALCULATE circumference earth latitude physical sciences

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How does one calculate Earths circumference based on latitude?

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Are you asking how to calculate the length of a latitude circle, i.e., the circumference of a slice of earth parallel to the equator at a given latitude? If R is the earth’s radius and L is the latitude, then the formula is 2(pi)R*cosine(L). At the equator (L=0) this gives the circumference of the earth. At the poles (L=90 degrees) the formula yields zero.