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Cycloid Calculator
Arc length, area and path of a cycloid traced by a rolling circle.
ruler Free Online Tool
⚡ Instant Results
📊 Clear Comparison
🔒 100% Free Tool
Arc length of one arch
Compare Your Options And Get Clear Answers
Arc length, area and path of a cycloid traced by a rolling circle.
Cycloid Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: L = 8r; A = 3 pi r2.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Cycloid Quick Guide
Typical values for reference.
| Radius | Arc length | Area | |
|---|---|---|---|
| 1 | 8 | 9.42 | |
| 2 | 16 | 37.70 | |
| 5 | 40 | 235.62 | |
| 10 | 80 | 942.48 | |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Cycloid Calculator FAQ
Answers to common questions about this calculator.
The curve traced by a point on a rolling circle.
Eight times the radius.
Three times the circle area.
It is the brachistochrone curve.