Angle Converter

Convert between degrees, radians, gradians, arcminutes and more.

Radians (rad)1.5707963
Gradians (grad)100
Turns0.25
Arcminutes (')5400
Arcseconds (")324000

What is Angle Converter?

An angle converter is an online tool that converts angular measurements between the different units used in mathematics, engineering, navigation, and surveying. It converts between degrees, radians, gradians (also called gons), arcminutes, arcseconds, and turns (full rotations). While degrees are the most familiar unit for most people, radians are the standard in calculus and physics, and gradians are used in some European surveying traditions.

The need for angle conversion arises across many disciplines. Trigonometry and calculus use radians because mathematical functions like sin, cos, and tan are defined naturally in terms of radians. Computer graphics APIs sometimes require radians, sometimes degrees. GPS coordinates use degrees, minutes, and seconds for latitude and longitude. Surveyors using European instruments work with gradians. Machine tool operators set cutting angles in degrees. Navigators express bearings in degrees and sub-degree precision in arcminutes and arcseconds.

This tool handles conversions between all major angular units accurately and quickly. It is particularly useful for programmers converting between degree inputs and radian requirements, students working through trigonometry and calculus, and professionals in engineering, navigation, and surveying who encounter multiple angle unit systems in their work.

How to Use Angle Converter

  1. 1Step 1: Open the Angle Converter and locate the input field where you will enter the numeric angle value you want to convert to other angular measurement units.
  2. 2Step 2: Type the angle value — for example, '180' for a straight angle in degrees, '3.14159' for approximately pi radians, or '200' for a straight angle in gradians.
  3. 3Step 3: Select the unit your angle is expressed in from the dropdown menu, choosing from degrees, radians, gradians, arcminutes, arcseconds, or turns.
  4. 4Step 4: Read the converted angle values shown instantly in the results panel for all other supported units, displayed simultaneously for easy reference.
  5. 5Step 5: Copy or note the converted angle value to use in your programming code, engineering drawing, mathematical formula, or navigation system.

Benefits of Using Angle Converter

  • Programming and Math Support: Converts between degrees and radians instantly, which is the most common need when working with trigonometric functions in code or calculus problems.
  • Surveying Accuracy: Supports gradians — preferred in European surveying — alongside degrees, enabling surveyors to work across equipment and documentation using different angular standards.
  • GPS Coordinate Precision: Converts between decimal degrees and degrees/arcminutes/arcseconds for working with geographic coordinate data in both modern and legacy mapping systems.
  • Computer Graphics: Helps graphics programmers convert between degree-based rotation values and radian inputs required by rendering libraries and transformation matrices.
  • Educational Value: Displays equivalent values in all angle units simultaneously, helping students in trigonometry and physics build intuition for the relationship between degrees and radians.
  • Navigation and Bearing Calculations: Supports sub-degree precision via arcminutes and arcseconds, useful for celestial navigation, telescope alignment, and precision direction finding.

Example

A JavaScript developer is building an animation that rotates an element. The design team specifies the rotation as 270 degrees, but the Web Animations API function he is using requires the angle in radians. He opens the Angle Converter, enters 270 in the degrees field, and reads the result: 4.7124 radians (specifically 3π/2). He uses this value in his code: `element.animate([{ rotate: '4.7124rad' }], ...)`. The animation works perfectly. Later, he needs to verify that a 400-gradian rotation equals a full circle — he enters 400 gradians and confirms it converts to exactly 360 degrees.

About Angle Converter

Angle Converter translates between degrees, radians, gradians, and turns. It's essential for trigonometry, engineering drawings, navigation, and 3D modeling. Conversion results are displayed with high precision for use in technical calculations.

  • Degrees, radians, gradians, turns
  • High-precision output
  • Useful for math and engineering
  • Instant conversion