Bicycle Gear Inches Calculator
Gear inches from chainring, cog, and wheel size.
About this calculator
Gear inches is the traditional way cyclists compare gearing across completely different drivetrains and wheel sizes: it's the wheel's overall diameter (tire plus rim, in inches) multiplied by the gear ratio of chainring teeth divided by cog teeth. A bigger number means a harder gear that covers more ground per pedal stroke but takes more effort to turn over. From that, this calculator derives "development" — the actual distance the bike travels for one full crank revolution — by multiplying gear inches by pi (the circumference the effective wheel would trace) and converting to feet and meters.
It also computes the Sheldon Brown gain ratio, which improves on gear inches by folding in crank arm length: a longer crank means more leverage, so gain ratio takes the same chainring/cog gear ratio and multiplies it by the wheel's radius (in mm) divided by crank length, giving a dimensionless number that's genuinely comparable between bikes with different crank lengths, unlike gear inches alone. Finally, plugging in a cadence (pedaling RPM) converts development into a real speed in mph and km/h — useful for figuring out what cadence you'll need to hold a given pace in a given gear, or for picking a cassette that keeps you in a comfortable cadence range on climbs. Keep in mind wheel diameter varies by tire size even within the same nominal wheel (700c ranges from roughly 26.3 to 27+ inches overall), so measuring your actual rolled-out circumference gives more accurate results than assuming a textbook figure.
Inputs
Results
Gear inches
79.4
How to Use This Calculator
- Enter Chainring teeth, Rear cog teeth, and Wheel diameter (in).
- Set Crank length (mm) and Cadence (RPM).
- Review the Gear inches result.
- Use Gear ratio and Development (m) to inform your decision.
How the result changes with Rear cog teeth
| Rear cog teeth | Gear inches |
|---|---|
| 9 | 150 |
| 13 | 103.8 |
| 26 | 51.9 |
| 43 | 31.4 |
What each input means
- Chainring teeth
- Number of teeth on the front chainring.
- Rear cog teeth
- Number of teeth on the rear sprocket.
- Wheel diameter (in)
- Overall wheel + tire diameter in inches. 700×25c is ~26.3 in, 700×32c is ~27 in.
- Crank length (mm)
- Crank arm length in mm (typically 165-175 mm).
- Cadence (RPM)
- Pedaling cadence in revolutions per minute.
What each result means
- Gear inches
- Gear inches: effective wheel diameter multiplied by gear ratio.
- Gear ratio
- Chainring teeth divided by cog teeth.
- Development (m)
- Distance traveled per crank revolution in meters.
- Gain ratio
- Sheldon Brown gain ratio — accounts for crank length.
- Speed (mph)
- Speed at the given cadence in miles per hour.
- Speed (km/h)
- Speed at the given cadence in kilometers per hour.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersChainring teeth = 50, Rear cog teeth = 17, Wheel diameter (in) = 27, Crank length (mm) = 172.5 = 5 input(s) provided
- Calculate Gear inchesGear inches = wheelDiameter * gearRatio79.4 = 79.4
- Calculate Gear ratioGear ratio = chainring / cog2.941 = 2.941
- Calculate DevelopmentDevelopment = developmentInches * 0.02546.34 = 6.34
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why do I need the gain ratio if gear inches already tells me how hard a gear is?
Gear inches only accounts for wheel diameter and the chainring/cog ratio — it ignores crank arm length entirely, even though a longer crank gives you more leverage to turn the same gear. Gain ratio multiplies the same chainring/cog ratio by wheel radius divided by crank length, so two bikes with identical gear inches but different crank lengths will show different gain ratios, which is the number that actually reflects how hard the pedals feel to push.
How does changing my wheel diameter input affect gear inches versus development?
Gear inches scales directly with wheel diameter — a bigger wheel diameter number produces a proportionally bigger gear inches figure for the same chainring/cog combination. Development follows the same relationship since it's just gear inches multiplied by pi, so both numbers move together; only the gain ratio is less sensitive to wheel diameter changes because it uses wheel radius alongside crank length rather than diameter alone.
What cadence should I enter to see my actual riding speed?
Enter your typical or target pedaling cadence in revolutions per minute — most road cyclists ride between roughly 80-100 RPM at cruising effort. The calculator multiplies your development distance (feet traveled per crank revolution) by that cadence and by 60 seconds, then divides by 5,280 feet per mile to get mph, so a higher cadence in the same gear directly produces a higher computed speed.
Why might my real-world speed differ from what this calculator shows?
The speed calculation assumes your entered wheel diameter exactly matches your actual rolled-out tire circumference, but that varies by tire width and inflation even within the same nominal size — 700c tires alone range from about 26.3 to 27+ inches overall. It also doesn't account for drivetrain losses, wheel slip, or terrain, so it's best used as a gearing-comparison tool rather than a precise speedometer.
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Gear Ratio Calculator
Calculate gear ratio, speed at any cadence, gear inches, and development from chainring, cog, and wheel size.
Sports, Outdoors & RecreationCycling Speed Calculator
Calculate cycling speed, distance, or time. Includes pace, calorie burn estimates, and metric conversions.
Sports, Outdoors & RecreationRunning & Cycling Calculator
All-in-one pace, heart rate zones, calories, VO2 max, race predictions, and splits for runners and cyclists.
BicycleBike Commute Savings Calculator
Annual savings from cycling vs driving to work.
Unit ConversionsLength Converter
Convert between all length and distance units — inches, feet, yards, miles, millimeters, centimeters, meters, kilometers.
More in Sports, Outdoors & Recreation.