Calculator

What the Grad Converter does

Grad Converter: 1 grad = 0.9 °, so multiply a gradian value by 0.9 to get degree, or divide to go back. Example: 1 grad = 0.9 °.

This converter reads Value, From and To and produces Result, How it was calculated and Reverse conversion. There is no submit step; the numbers move as you adjust them.

It is mostly used by students converting units for homework. Unit mistakes are quietly expensive. They have wrecked spacecraft and ruined recipes alike.

Nothing leaves the tab. You can watch your browser network panel while you use it and see for yourself.

Each field is explained further down, along with the method and a worked example that uses the default values.

What do the Grad Converter fields mean?

The Grad Converter uses 3 inputs. The starting figures are ordinary, not edge cases, so they make a sensible baseline.

FieldWhat to enterDefault
Value required 1
From choose from Degree (°), Radian (rad), Gradian (grad), Arcminute ('), Arcsecond (") or Turn (revolution) (turn) Gradian (grad)
To choose from Degree (°), Radian (rad), Gradian (grad), Arcminute ('), Arcsecond (") or Turn (revolution) (turn) Degree (°)

How does the Grad Converter work?

1 grad = 0.9 ° → result = value × 0.9

Both units are converted through angle's base unit (rad), so any of the 7 units in the dropdowns can be paired in either direction without loss of accuracy.

Every factor here is the defined one, not a textbook approximation. That matters more than it sounds: rounding a factor early is the usual reason two converters disagree in the fourth decimal place.

Worked example

These are the values the Grad Converter loads by default, and the result it produces from them. The defaults produce the result shown here; change any of them and the answer moves.

Inputs
Value1
FromGradian (grad)
ToDegree (°)
Result
Result0.9 °
How it was calculated1 grad = 0.9 °, so 1 × 0.9 = 0.9 °
Reverse conversion1.111111111 grad (if you meant 1 °)

The gradian

The gradian (also called the gon) divides a full circle into 400 equal parts rather than 360: a decimal alternative to the degree, introduced during the French Revolutionary push to metricate essentially everything, including angles.

Worth knowing

  • The appeal of 400 gradians per circle is that a right angle becomes a clean 100 gradians, fitting neatly into a decimal, base-10 system, unlike the 90-degree right angle, which doesn’t align as cleanly with decimal arithmetic.
  • Despite the metric logic behind it, the gradian never achieved wide adoption outside specific fields: some European land-surveying instruments and artillery/engineering calculators still include a gradian ("GRAD") mode alongside degrees and radians.
  • Most scientific calculators to this day include a DEG/RAD/GRAD switch specifically because of this lingering specialist use, even though the vast majority of users will only ever need degrees or radians.

Definitions: BIPM SI Brochure · NIST reference on units

How to use it

  1. Set Value.
  2. Pick a value for From: the options are Degree (°), Radian (rad), Gradian (grad), Arcminute ('), Arcsecond (") or Turn (revolution) (turn).
  3. Pick a value for To: the options are Degree (°), Radian (rad), Gradian (grad), Arcminute ('), Arcsecond (") or Turn (revolution) (turn).
  4. Skip the submit button; there is not one. Editing is enough.
  5. Check Result, How it was calculated and Reverse conversion on the right.
  6. If you need a record, Copy Link saves the inputs and Print produces a clean page.

What this tool does not do

  • Factors use the internationally agreed definitions; some industries round them differently.
  • Repeated conversions compound rounding, so convert once from the original value where you can.
  • The tool answers exactly the question it is given; it cannot know the context around your numbers.
  • The result inherits any error in the inputs without flagging it.

Frequently asked questions

The form asks for Value, From and To. A starting value is in place for each, so the quickest approach is to replace the one number you actually care about.

With the values loaded when the page opens, result comes out as 0.9 °. Edit any input and that figure moves with it.

No record is kept. We never receive what you type, so there is nothing on our side to retain.

No cost and no account. Use it as often as you like.

As accurate as the inputs allow. The arithmetic itself introduces no error beyond display rounding.

YoursTools Team
Product & Engineering

Builds and maintains every calculator on YoursTools.