The Sphere

The following elements of a sphere are calculated if one of them is given. Additionally calculated are the radius and the perimeter of a parallel circle with a given central angle.

Example 1:

Given:
¯¯¯¯¯¯
      Surface S = 1

Results:
¯¯¯¯¯¯¯   
        Radius r = 0,28209479
    Diameter d = 0,56418958
   Perimeter p = 1,7724539
      Volume V = 0,094031597

Parallel circle α = 48°
          Radius r' = 0,18875826
     Perimeter u' = 1,1860031

Example 2:

Given:
¯¯¯¯¯¯
      Perimeter p = 40000

Results:
¯¯¯¯¯¯¯
          Radius r = 6366,1977
      Diameter d = 12732,395
        Surface S = 5,0929582E8
        Volume V = 1,0807593E12

Parallel circle α = 48°
           Radius r' = 4259,8177
      Perimeter u' = 26765,224

In example 2, the radius of the earth is calculated from the equator longitude.

See also:

Wikipedia: Sphere