Millimeters to Degrees Calculator

This calculator converts millimeters to degrees based on the curvature radius.

Input Parameters

Calculation Results

Calculation Formula

Angle (θ) in degrees = 57.2958 * (180 / π) * arccos(1 - (mm / (2 * R)))

Where:
θ = Angle in degrees
mm = Arc length in millimeters
R = Radius of curvature in millimeters

Millimeters to Degrees Calculator Calculator Usage Guide

Learn how to use the Millimeters to Degrees Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the arc length in millimeters (mm) in the input field.
  2. Click the "Calculate" button to compute the corresponding angle in degrees.
  3. The result will be displayed in the degrees field.
  4. Use the "Reset" button to clear the input fields if needed.

Working Principle

This calculator converts an arc length (in millimeters) to an angle (in degrees) based on the radius of curvature. The formula used is derived from the relationship between the arc length, radius, and angle in a circle:

Angle (θ) in degrees = 57.2958 * (180 / π) * arccos(1 - (mm / (2 * R)))

Where:

  • θ = Angle in degrees
  • mm = Arc length in millimeters
  • R = Radius of curvature in millimeters

The calculator assumes a default radius of 1000 mm for demonstration purposes. For more accurate results, you can modify the radius in the calculation script.