How this calculation works
Average three angles while respecting the wrap at 360°.
THE FORMULA
Average unit direction vectors and take atan2 of their componentsA worked example
350°, 0° and 10° are centred on 0°.
Good to know
An exactly cancelling resultant has no mean direction.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Average three angles while respecting the wrap at 360°.
The primary result is labeled “Mean direction (°)”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
An exactly cancelling resultant has no mean direction.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
350°, 0° and 10° are centred on 0°.
Which rule does this calculator apply?
Average unit direction vectors and take atan2 of their components