If you’ve ever 3D printed some sort of circular shape, you will notice the faceted look you get if not enough points are used. A larger radius will require more points than a smaller radius, but how do you determine how many are good enough? The answer is pretty straightforward, but the calculations may be beyond some users. In order to facilitate this, I’ve created a simple plugin that will tell you how many segments you need to specify for either a full circle or an arc, given the radius, the tolerance desired, and the angle in question.

The equation used (for a full circle) is:

where **R** is the radius and **e** is the tolerance and **N** is the number of sides that should be used.

The plugin can be downloaded here: N Calc

It’s pretty straighforward to use:

gives:

The calculations are for a unit circle so they are valid in any units you choose.