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Earth's mean radius

The Earth's mean radius is determined as the average distance from the physical center to the surface, based on a large number of samples. The value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). This is roughly 6,371 kilometers (km) or 3,960 statute miles.

The Earth is slightly oblate, so its radius in the plane of the equator is a little larger than its radius along the rotational axis. In addition, there are irregularities in the surface because of hills, mountains, tides, and rainfall.

Based on the value of rearth given here, the volume of the planet (Vearth), in meters cubed (m3), can be found using the standard formula for the volume V of a sphere in terms of its radius r:

V = (4/3)(pi) r3

where pi represents the ratio of the circumference of a circle to its diameter, an irrational number equal to approximately 3.14159. Based on this formula:

Vearth = 1.083 x 1021 m3

Also see Table of Physical Units and Constants.

This was last updated in September 2005

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So, the Area of Earth is A=4PI*R SQ'D.
Equals 196,950,906.6 SQ Miles
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I get the point of getting the volume of spherical objects using a formula. However what I want is, what sort of mathematical tools or rules did archimedes or whoever came with the radius of the earth, use to calculate the radius?
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