Angle Converter

Convert angles between degrees, radians, gradians, turns, arcminutes and arcseconds. Type a value and see it in every unit at once, exactly. A free angle converter for maths, engineering and programming, in your browser.

Switch an angle into the unit your maths or code needs. Convert degrees to radians for a trig function, radians to degrees for a readout, or work in gradians, turns and arcseconds for surveying and astronomy. Enter one value and every unit updates at once.

  • Exact, standard factors
  • 100% free
  • No sign-up, no app
  • Instant as you type
  • Works offline after first load
Convert
0.01745329rad
1 ° = 0.01745329 rad

1 ° in every unit

Degree1 °
Radian0.01745329 rad
Gradian1.1111111 grad
Turn0.00277778 turn
Arcminute60 ′
Arcsecond3,600 ″

How to use it

  1. 1

    Enter an angle

    Type the value you have, such as 90 degrees or 1.5708 radians.

  2. 2

    Choose the units

    Set what you are converting from and to, then swap for the reverse.

  3. 3

    Read the rest

    See degrees, radians, gradians, turns and arcminutes together, and copy any line.

When it comes in handy

Maths and trigonometry

Convert degrees to radians for trig functions, which most calculators and code expect in radians.

Programming

Switch between degrees and radians when a graphics or game library uses one and your data uses the other.

Surveying and astronomy

Work with arcminutes and arcseconds for fine angular measurements.

Instant, exact & 100% in your browser

The conversion runs right here in your browser using exact, standard factors. Nothing you type is sent to a server, there is no sign-up and no limit, and once the page has loaded it keeps working even with no connection.

Frequently asked questions

How do I convert degrees to radians?
Multiply degrees by π and divide by 180. So 180 degrees is exactly π radians, and 90 degrees is π/2. Most programming languages and scientific calculators expect angles in radians, which is the most common reason people need this conversion.
What is a gradian?
A gradian, also called a gon, divides a right angle into 100 parts, so a full circle is 400 gradians rather than 360 degrees. It is used in some surveying and engineering contexts because it fits the decimal system neatly.
How many arcminutes and arcseconds are in a degree?
One degree is 60 arcminutes, and each arcminute is 60 arcseconds, so a degree is 3,600 arcseconds. These fine divisions are used in astronomy and surveying, where an angle needs to be pinned down far more precisely than a whole degree allows.

More tools

Length ConverterMetres, feet, miles, inches, km and more, instantly.Weight & Mass ConverterKilograms, pounds, ounces, grams and stone.Temperature ConverterCelsius, Fahrenheit and Kelvin, both ways.Volume ConverterLitres, gallons, cups, pints and cooking units.Speed Converterkm/h, mph, m/s, knots and ft/s.Time ConverterSeconds, minutes, hours, days, weeks and years.

More from the Hivly network

Free sister tools on our other sites.

Cups to Grams ConverterFlour, sugar, butter and more — cups to grams, done right.Mortgage CalculatorMonthly payment with taxes, insurance and a full amortization schedule.Scientific CalculatorPowers, roots, trig, logs, memory and history.