String Girdling Earth Calculator
Calculate String Length
Results
Formulas Used
- Original Circumference = 2Ï€r
- New Circumference = 2Ï€(r + h)
- Additional Length = 2Ï€h
Where:
r = Earth's radius
h = Desired height above surface
Original Circumference
-
kilometers
New Circumference
-
kilometers
Additional Length
-
meters
Length Increase
-
percent
The String Girdling Earth Paradox
This calculator demonstrates a fascinating mathematical principle: to raise a string 1 meter above the Earth's surface, you only need to add approximately 6.28 meters (2Ï€ meters) to its length, regardless of the Earth's size!
This works because:
- The additional length needed is always 2Ï€ times the height
- The Earth's radius cancels out in the calculation
- This principle applies to any sphere, not just Earth