All Online Unit Converters
Online Angle Units Converter

Online Angle Units Converter

What Is This Tool?

This tool allows users to quickly convert angle measurements between different units including degrees, radians, gradians, minutes and seconds of arc, and several others. It supports exact mathematical constants and is useful for a wide range of applications from geometry to navigation.

How to Use This Tool?

  • Enter the value of the angle you want to convert in the input field.
  • Select the original unit of the angle measurement from the available units list.
  • Choose the target unit you wish to convert the angle into.
  • Click the convert button to see the converted angle value.
  • Review the result which may use exact constants such as π for higher precision.

Key Features

  • Supports conversion among many angle units such as Degree, Radian, Grad, Minute of Arc, Second of Arc, Turn, and more.
  • Uses direct unit-to-unit conversion factors without relying on a single base unit.
  • Includes common units like Degree, Radian, and Grad for most standard conversions.
  • Handles exact mathematical constants like π with optional rounding for precision.
  • Browser-based and easy to use with no installation required.

Examples

  • Converting 180 degrees results in π radians.
  • Converting 1 radian results in approximately 57.2958 degrees.
  • Convert a right angle of 90 degrees into a quadrant, which equals one quarter of a full turn.

Common Use Cases

  • Performing angle conversions in geometry problems.
  • Calculating angles in navigation and surveying tasks.
  • Converting angular measurements in physics and engineering projects.
  • Utilizing precise angles in astronomy and robotics.
  • Working with optics and ballistics measurements.

Tips & Best Practices

  • Always verify the unit type before converting to ensure accuracy.
  • Use exact values with constants like π when high precision is required.
  • Be cautious when using historical units such as sextant arc due to inconsistency in modern usage.
  • Double-check results when converting very small angles like microradians for critical applications.

Limitations

  • Some historical angle units, including sextant arc, may be applied inconsistently in contemporary contexts.
  • The tool does not support batch conversions or automatic unit detection.
  • Does not calculate derivative or related trigonometric values, only direct unit conversions.

Frequently Asked Questions

Can I convert between all angle units listed?
Yes, the converter supports all provided units including degrees, radians, gradians, minutes of arc, and others.

Does the tool use approximations for constants like π?
The converter uses exact mathematical constants with optional rounding as needed for clarity.

Is this tool suitable for professional engineering calculations?
Yes, it is suitable for engineering and scientific uses where standard angle conversions are necessary.

Key Terminology

Degree (°)
A common angular measure that divides a circle into 360 equal parts.
Radian (rad)
The SI unit of angle based on the ratio of arc length to radius.
Grad (gon)
A metric unit of angle dividing a circle into 400 parts.
Minute of Arc (′)
One sixtieth of a degree, used in navigation and astronomy.
Second of Arc (″)
One sixtieth of a minute of arc, used for fine angular measurements.
Turn (rev)
One full rotation around a circle, equal to 360 degrees.
Milliradian (mrad)
A small unit of angle derived from radians, used in optics and ballistics.
Microradian (µrad)
An extremely small radian subunit for very precise angle measurements.
Quadrant
One quarter of a full turn, equivalent to 90 degrees.
Sextant Arc
One sixth of a full turn, or 60 degrees, historically used in navigation.
Right Angle
An angle measuring exactly 90 degrees.

Quick Knowledge Check

Which unit divides a circle into 400 parts?
What is the size of a right angle in degrees?
Which unit is equal to one complete revolution?