Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Pure catenary geometry, consistent length units. No tension, elasticity or structural safety calculation.
Example Calculation
- Catenary scale a: 2
- Horizontal offset x: 2
Catenary scale a = 2; Horizontal offset x = 2. Primary result: 1.08616126963.
Frequently asked questions
How do I use this calculator?
Enter catenary scale a, horizontal offset x. The result updates automatically. Use Reset to restore the example values.
What method does it use?
y=a(cosh(x/a)−1); arc length from vertex=a sinh(|x|/a).. Pure catenary geometry, consistent length units. No tension, elasticity or structural safety calculation.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.