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Angle Converter Calculator

Work out angle converter instantly with clear inputs, formula shown and shareable results.

About Angle Converter Calculator

Each angle unit is defined as a multiple of the degree, so the conversion runs in two steps: multiply by the source unit's factor to reach degree, then divide by the target unit's factor. One factor per unit covers every pair in the list. The radian is the SI unit: one radian is the angle subtending an arc equal to the radius, so a full turn is 2 pi radians.

Formulas

Two-step conversion

result = value × factor(from) ÷ factor(to)

Base value

base (degree) = value × factor(from)

Worked example

With the default values below, Angle Converter Calculator returns Converted Value of 1.57079633. Change any input above and every figure here is recalculated in your browser.

Inputs used

Value
90
From unitone of Degree (deg), Radian (rad), Gradian (gon), Arcminute ('), Arcsecond ("), Full turn (revolution), NATO mil
Degree (deg)
To unitone of Degree (deg), Radian (rad), Gradian (gon), Arcminute ('), Arcsecond ("), Full turn (revolution), NATO mil
Radian (rad)

Results

Converted Value
1.57079633
Result Unit
Radian (rad)
Value in degree (base)
90.00000000
Multiplier Applied
0.01745329

Step by step

  1. 1Values used
  2. 2Two-step conversion
  3. 3Base value
  4. 4Converted Value= 1.57079633
  5. 5Result Unit= Radian (rad)
  6. 6Value in degree (base)= 90.00000000
  7. 7Multiplier Applied= 0.01745329

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why route through degree?

With 7 units, direct pairs would mean 42 factors to maintain. Going via degree needs one factor per unit and gives the same answer.

Does the dropdown order matter?

Yes. The first is the unit your figure is already in; the second is what you want it in. Swapping them inverts the result.

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