Enter the number of teeth on the chainring and the chain pitch into the calculator to determine the chainring diameter. This calculator helps in designing and analyzing bicycle gear systems.

Chainring Diameter Formula

The following formula is used to calculate the chainring diameter.

D = (N * P) / π

Variables:

  • D is the chainring diameter (inches)
  • N is the number of teeth on the chainring
  • P is the chain pitch (the distance between a point on one chain pin to the same point on the next pin in inches)

To calculate the chainring diameter, multiply the number of teeth on the chainring by the chain pitch and divide the result by π (pi).

What is a Chainring Diameter?

Chainring diameter is a measurement that indicates the size of the chainring on a bicycle or similar machinery. It is an important dimension for determining the gear ratio and the mechanical advantage provided by the chainring in a gear system. The diameter is directly related to the number of teeth and the pitch of the chain used.

How to Calculate Chainring Diameter?

The following steps outline how to calculate the Chainring Diameter.


  1. First, determine the number of teeth on the chainring (N).
  2. Next, determine the chain pitch (P) in inches.
  3. Next, gather the formula from above = D = (N * P) / π.
  4. Finally, calculate the Chainring Diameter (D) in inches.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Number of teeth on the chainring (N) = 52

Chain pitch (P) = 0.5 inches