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.
- Radius r
- Diameter d
- Perimeter u
- Volume V
- Surface S
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.