Enter the linear displacement and radius into the calculator to determine the angle. This calculator can also evaluate any of the variables given the others are known.

Mm To Angle Formula

The following formula is used to calculate the angle from millimeters.

θ = (L / r) * (180 / π)


  • θ is the angle (degrees)
  • L is the linear displacement (mm)
  • r is the radius of the circle (mm)
  • π is a mathematical constant whose approximate value is 3.14159

To calculate the angle, divide the linear displacement by the radius of the circle. Multiply the result by the ratio of 180 to π to convert the angle from radians to degrees.

What is a Mm To Angle?

Mm to Angle is a conversion process used in various fields such as engineering, physics, and mathematics to convert a linear measurement (millimeters) into an angular measurement (degrees, radians, etc.). This is often used in situations where the rotation or angle of an object needs to be determined based on its linear displacement. The conversion usually requires knowledge of the radius or diameter of the circle in which the object is moving.

How to Calculate Mm To Angle?

The following steps outline how to calculate the Mm To Angle using the formula: θ = (L / r) * (180 / π).

  1. First, determine the linear displacement (L) in millimeters (mm).
  2. Next, determine the radius of the circle (r) in millimeters (mm).
  3. Next, gather the formula from above: θ = (L / r) * (180 / π).
  4. Finally, calculate the angle (θ) in degrees.
  5. After inserting the values of L, r, and π into the formula, calculate the result.

Example Problem:

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

Linear displacement (L) = 50 mm

Radius of the circle (r) = 10 mm

π (mathematical constant) = 3.14159