How to Use This Tool
Enter a Value
Type the angle you want to convert into the input field. Decimals and scientific notation are supported.
Choose Your Units
Pick a From unit and a To unit from the dropdowns. Use the swap button to flip them instantly.
Read the Result
The converted value appears instantly below the inputs. Click Copy to put it on your clipboard.
See All Conversions
Scroll down to see the same angle converted into every other supported unit at once.
Frequently Asked Questions
Is this tool really free?
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Yes, completely free with no limits and no sign-up. Everything runs in your browser with no server costs.
Is my data sent to a server?
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No. All conversion math happens directly in your browser. Nothing you type is ever sent anywhere.
What units are supported?
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7 units: Degree, Radian, Gradian (also called gon), Arc Minute, Arc Second, Turn (full revolution), and Milliradian.
How do I convert degrees to radians?
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Set From to Degree and To to Radian. 180 degrees equals pi radians (about 3.14159). So 90 degrees is about 1.5708 radians.
What is a Gradian?
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A gradian (or gon) divides a right angle into 100 parts instead of 90. A full circle is 400 gradians. It is used mainly in surveying and some European engineering.
What is an Arc Minute and Arc Second?
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One degree is divided into 60 arc minutes, and one arc minute is divided into 60 arc seconds. These are used in navigation, astronomy, and mapping for very precise angles.
What is a Turn?
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One turn is a full revolution, equal to 360 degrees, 2 pi radians, or 400 gradians. It is the simplest way to express how many complete rotations something has made.
What is a Milliradian?
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A milliradian (mrad) is one thousandth of a radian. It is used in military, firearms, and optics for precise aiming and range estimation.
How accurate are the conversions?
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The tool uses standard conversion factors and displays up to 10 significant figures. Results are accurate for everyday, educational, and professional use.
Can I see all conversions at once?
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Yes. Below the main result, the tool shows the same angle in every other unit in a scrollable list.
What Is Angle Converter?
Angle Converter is a free tool that converts between 7 angle units right in your browser. It covers the most common units (degrees and radians), precision units (arc minutes and arc seconds), surveying units (gradians), full rotations (turns), and military/optics units (milliradians). Nothing you type is ever sent anywhere - all math runs locally on your device.
The result updates live as you type, and a full conversion table shows the same angle in every other unit at once. Use the swap button to flip your units instantly, or copy the result to your clipboard in one click.
Features Explained
7 Angle Units
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Convert between Degree, Radian, Gradian, Arc Minute, Arc Second, Turn, and Milliradian.
Degrees and Radians
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The two most common angle units. Degrees divide a circle into 360 parts. Radians use the ratio of arc length to radius, with a full circle being 2 pi radians.
Gradians for Surveying
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Gradians (gon) divide a right angle into 100 parts and a full circle into 400. Used in surveying, geodesy, and some European engineering.
Arc Minutes and Arc Seconds
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One degree = 60 arc minutes. One arc minute = 60 arc seconds. Used for very precise angles in astronomy, navigation, and cartography.
Turns for Full Rotations
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One turn = one complete revolution = 360 degrees. A simple way to express how many full circles something has rotated.
Milliradians for Precision
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One milliradian is one thousandth of a radian. Used in military targeting, rifle scopes, and optical instruments for fine angular measurements.
Instant Conversion
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The result updates live as you type. There is no Convert button to click - you see the answer the moment your input changes.
All Conversions at Once
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Below the main result, a scrollable table shows the same angle converted into every other unit simultaneously.
Swap Button and Copy
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Click the swap button to flip From and To instantly. Click Copy to put the result on your clipboard, ready to paste anywhere.
100% Browser-Based
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All conversion math runs directly in your browser. Nothing you type is ever sent to any server - complete privacy.
Who Is This Tool For?
Students
Convert between degrees and radians for trigonometry, calculus, and physics homework and exams.
Teachers
Demonstrate angle conversions in real time during math and science lessons.
Engineers
Convert between degrees, radians, and milliradians for mechanical design, control systems, and signal processing.
Surveyors
Convert between gradians, degrees, and arc minutes for land surveying and geodetic measurements.
Astronomers
Convert between arc minutes, arc seconds, and degrees for star positions, telescope pointing, and sky coordinates.
Navigators
Convert between degrees, arc minutes, and arc seconds for GPS coordinates and nautical chart readings.
Pilots
Convert heading and bearing angles between degrees and other units for flight planning and navigation.
Military Personnel
Convert between milliradians, degrees, and turns for targeting, artillery calculations, and scope adjustments.
Physicists
Convert between radians and degrees for wave mechanics, rotational dynamics, and angular momentum calculations.
Mathematicians
Convert between radians and degrees for trigonometric functions, complex analysis, and geometry.
Architects
Convert between degrees and gradians when working with plans that use different angle systems.
Robotics Engineers
Convert servo and joint angles between degrees, radians, and milliradians for motion programming.
Woodworkers
Convert miter and bevel angles between degrees and other units when following plans from different sources.
Photographers
Convert field-of-view angles between degrees and radians when comparing lens specifications.
Game Developers
Convert between degrees and radians for character rotation, camera angles, and physics calculations.
Cartographers
Convert map coordinates between degrees, arc minutes, and arc seconds for GIS and mapmaking.
Optical Engineers
Convert lens and beam angles between milliradians, degrees, and arc seconds for optical system design.
Drone Operators
Convert gimbal and flight angles between degrees and radians for camera control and waypoint planning.
Sports Analysts
Convert launch angles and trajectory angles between degrees and radians for biomechanics and performance analysis.
Construction Workers
Convert roof pitch and slope angles between degrees and gradians when reading plans from different standards.
Machinists
Convert cutting tool angles and indexing positions between degrees and arc minutes for precision machining.
3D Modelers
Convert rotation angles between degrees and radians when switching between different modeling and animation tools.
Scientists
Convert between SI angle units and specialized units for research data and cross-referencing publications.
Anyone
Quickly convert any angle for any reason - homework, navigation, construction, gaming, or curiosity.
Tips for Best Results
Degrees to radians
Multiply degrees by pi/180. Or just remember: 180 degrees = pi radians, 90 degrees = pi/2, 360 degrees = 2 pi. The tool handles it all for you.
Radians to degrees
Multiply radians by 180/pi. For example, 1 radian is about 57.3 degrees.
Gradians for right angles
A right angle is exactly 100 gradians (vs 90 degrees). This makes gradians convenient for surveying where right angles and percentages are common.
Arc minutes and seconds for precision
1 degree = 60 arc minutes = 3,600 arc seconds. GPS coordinates often use degrees, minutes, and seconds notation.
One turn = one full circle
1 turn = 360 degrees = 2 pi radians = 400 gradians. Use turns when counting complete rotations.
Milliradians for military and optics
There are about 6,283 milliradians in a full circle. One mrad at 1,000 meters covers about 1 meter of distance, making it useful for range estimation.
Use the All Conversions table
Scroll below the main result to see the same angle in every other unit at once.
Use the swap button
Click the swap button between the dropdowns to flip From and To instantly.
Copy the result in one click
Click Copy next to the result to put the value on your clipboard.
Privacy is built in
Nothing you type is ever sent to any server. All math runs in your browser, so your data stays completely private.
Privacy & Security
This tool runs 100% in your browser. Your files stay entirely on your own device. Nothing is uploaded, nothing is shared, and no server, advertiser, or third party has access to your files.
If a tool saves your work on your own device, you can remove it at any time using the Clear All button. Some tools rely on an external service to return their result; in those cases, only the minimum data required for the request is sent, and never your files or content. Any ads shown on this page run in an isolated frame and cannot read, touch, or transmit anything you upload, paste, type, or download here. Advertisers may see standard visit information like your IP address and which page you're on, as described in our Privacy Policy, but your data itself stays fully under your control.
