Converters

Angle converter (degrees, radians, gradians)

Convert an angle between degrees, radians, gradians, turns and arcminutes, with degrees-minutes-seconds format.

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How it works

360° = 2π rad = 400 gradians = 1 turn = 21,600′. 1 rad ≈ 57.2958°.

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

  • Value45
  • FromDegrees (°)
  • ToRadians (rad)

you get:

  • Result0.785398 rad
  • Degrees-minutes-seconds45° 0′ 0″
  • °45
  • gon50

Frequently asked questions

How does the “Angle converter” tool work?

360° = 2π rad = 400 gradians = 1 turn = 21,600′. 1 rad ≈ 57.2958°.

What do I need to enter?

Just fill in: value, from, to. The result updates as you type.

Can you give an example?

Value: 45; From: Degrees (°); To: Radians (rad) → Result: 0.785398 rad; Degrees-minutes-seconds: 45° 0′ 0″.

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.