Unit Conversion

Angle Conversion Calculator

Convert angles among degrees, radians, gradians, turns, arcminutes, and arcseconds.

Enter conversion details

Complete the fields below, then select Calculate.

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About this converter

How to use Angle Conversion Calculator, plus the formulas and logic behind the results.

Tool description

Convert angles among degrees, radians, gradians, turns, arcminutes, and arcseconds. It provides an immediate educational result using the definitions shown below.

How to use

  1. Enter the value or text you want to convert.
  2. Choose the applicable units, direction, or mode.
  3. Select Calculate to produce the result.
  4. Review the formula and note before using the result.

Formulas & reference

  • radians = degrees × π ÷ 180
  • 1 turn = 360°; 1° = 60 arcmin = 3,600 arcsec

Calculation logic

The source angle is normalized to degrees and then divided by the target unit’s degree factor.

Angles may be negative or greater than one full turn.

Angle Conversion Calculator FAQ

Common questions about this conversion and how to interpret the result.

What does this tool calculate?

Convert angles among degrees, radians, gradians, turns, arcminutes, and arcseconds.

How do I use this calculator?

Complete the input fields, choose the required options, and select Calculate.

Which formula is used?

radians = degrees × π ÷ 180

Are results rounded?

Calculations use full floating-point precision; displayed values are formatted for readability.

Can I enter decimal values?

Yes. Numeric fields accept decimal values unless a field specifically represents text.

Is the result authoritative?

No. It is an educational estimate; verify critical engineering, billing, health, or safety work independently.