Angle Converter
Angle Converter
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Angle Converter

The angle converter would allow users to convert between different units of angular measurement, including arc second, minute of arc, degrees, radians, gradians, revolutions, circles, and mils. The user would simply enter the angle in the desired units, and the converter would return the equivalent angle in all other units.

The angle converter could be used in a variety of applications, such as cartography, astronomy, and engineering. Simplify your calculations and ensure accuracy by converting angular measurements with our user-friendly tool. Try our area converter now!

Discover popular angle converters for converting degrees to radians or radians to degrees.

Degrees to Radians

To convert degrees to radians, you can use the following formula:

radians = degrees * (π / 180)

Here, π (pi) is a mathematical constant approximately equal to 3.14159, and 180 represents the total number of degrees in a circle.

To convert a specific angle from degrees to radians, you can simply multiply that angle by the conversion factor (π/180). For example, if you want to convert 45 degrees to radians:

radians = 45 * (π / 180)

Using the approximation for π, the calculation would be:

radians ≈ 45 * (3.14159 / 180)


radians ≈ 0.7854

So, 45 degrees is approximately equal to 0.7854 radians.

Similarly, you can use this formula to convert any given angle from degrees to radians. Just multiply the degree measure by (π / 180) to obtain the equivalent value in radians.

Radians to Degrees

To convert radians to degrees, you can use the following formula:

degrees = radians * (180 / π)

Here, π (pi) is a mathematical constant approximately equal to 3.14159, and 180 represents the total number of degrees in a circle.

To convert a specific angle from radians to degrees, you can multiply that angle by the conversion factor (180/π). For example, if you want to convert 1.5 radians to degrees:

degrees = 1.5 * (180 / π)

Using the approximation for π, the calculation would be:

degrees ≈ 1.5 * (180 / 3.14159)


degrees ≈ 85.9437

So, 1.5 radians is approximately equal to 85.9437 degrees.

Similarly, you can use this formula to convert any given angle from radians to degrees. Just multiply the radian measure by (180/π) to obtain the equivalent value in degrees.

What is Angle?

An angle is a fundamental concept in geometry and mathematics that plays a crucial role in understanding the relationships between lines, shapes, and objects. It is formed when two lines, line segments, or rays intersect at a common point, known as the vertex of the angle.

Angles are typically measured in degrees, which divide a complete circle into 360 equal parts. Angles are not only limited to degrees; other units of measurement are also used, such as radians and gradians, etc. Thankfully, the advent of angle converter tools has simplified this process, allowing users to seamlessly switch between units such as Arc Seconds, Minutes of Arc, Degrees, Radians, Gradians, Revolutions, Circles, and Mils.

Although there are many units of angle, this angle converter only supports:

Angle Converter

  1. Arc Second
  2. Minute of Arc
  3. Degrees
  4. Radians
  5. Gradians
  6. Revolutions
  7. Circles
  8. Mils.
1 Revolutions = 1 Circles = 360 Degrees = 21600 Minute of Arc = 129600 Arc Second = 2π Radians = 400 Gradians = 6400 Mils

Arc Second

An arc second is the smallest unit of angular measurement, equal to 1/60th of an arc minute or 1/3600th of a degree. It is often used in precise scientific and astronomical calculations.

Conversion table of Arc Second
Arc Second to Minute of Arc: 1 arc second = 0.01666667 minutes of arc
Arc Second to Degrees: 1 arc second = 0.00027778 degrees
Arc Second to Radians: 1 arc second = 4.84814e-6 radians
Arc Second to Gradians: 1 arc second = 0.00030864 gradians
Arc Second to Revolutions: 1 arc second = 7.71605e-9 revolutions
Arc Second to Circles: 1 arc second = 7.71605e-9 circles
Arc Second to Mils: 1 arc second = 0.00493827 mils

Minute Of Arc

A minute of arc is equal to 1/60th of a degree or 60 arc seconds. It finds common use in navigation, cartography, and angular measurements requiring moderate accuracy.

Conversion table of Minute Of Arc
Minute of Arc to Arc Second: 1 minute of arc = 60 arc seconds
Minute of Arc to Degrees: 1 minute of arc = 0.0166667 degrees
Minute of Arc to Radians: 1 minute of arc = 0.00029089 radians
Minute of Arc to Gradians: 1 minute of arc = 0.01851852 gradians
Minute of Arc to Revolutions: 1 minute of arc = 4.62963e-7 revolutions
Minute of Arc to Circles: 1 minute of arc = 4.62963e-7 circles
Minute of Arc to Mils: 1 minute of arc = 0.2962963 mils


Degrees are the most familiar unit of angular measurement, where a complete circle is divided into 360 degrees. Degrees are widely used in mathematics, geometry, and everyday conversations involving angles.

Conversion table of Degrees
Degrees to Arc Second: 1 degree = 3600 arc seconds
Degrees to Minute of Arc: 1 degree = 60 minutes of arc
Degrees to Radians: 1 degree = 0.0174533 radians
Degrees to Gradians: 1 degree = 1.11111 gradians
Degrees to Revolutions: 1 degree = 0.00277778 revolutions
Degrees to Circles: 1 degree = 0.00277778 circles
Degrees to Mils: 1 degree = 17.77777778 mils


Radians are a unit of angular measurement based on the radius of a circle. A complete circle encompasses 2π radians. Radians are widely used in trigonometry and calculus especially for circular functions.

Conversion table of Radians
Radians to Arc Second: 1 radian = 206264.8062471 arc seconds
Radians to Minute of Arc: 1 radian = 3437.74677078 minutes of arc
Radians to Degrees: 1 radian = 57.2958 degrees
Radians to Gradians: 1 radian = 63.66197724 gradians
Radians to Revolutions: 1 radian = 0.159155 revolutions
Radians to Circles: 1 radian = 0.15915494 circles
Radians to Mils: 1 radian = 1018.59163579 mils


Gradians, also known as grads or gons, divide a circle into 400 equal parts, with a right angle being 100 gradians. Gradians are commonly used in certain engineering and surveying applications, particularly in some European countries.

Conversion table of Gradians
Gradians to Arc Second: 1 gradian = 3240 arc seconds
Gradians to Minute of Arc: 1 gradian = 54 minutes of arc
Gradians to Degrees: 1 gradian = 0.9 degrees
Gradians to Radians: 1 gradian = 0.01570796 radians
Gradians to Revolutions: 1 gradian = 0.0025 revolutions
Gradians to Circles: 1 gradian = 0.0025 circles
Gradians to Mils: 1 gradian = 16 mils


A revolution is a complete turn around a circle, equivalent to 360 degrees or 2π radians. It is employed in mechanics, physics, and engineering when describing circular motion or rotation.

Conversion table of Revolutions
Revolutions to Arc Second: 1 revolution = 1.296e+6 arc seconds
Revolutions to Minute of Arc: 1 revolution = 21600 minutes of arc
Revolutions to Degrees: 1 revolution = 360 degrees
Revolutions to Radians: 1 revolution = 6.28319 radians
Revolutions to Gradians: 1 revolution = 400 gradians
Revolutions to Circles: 1 revolution = 400 circles
Revolutions to Mils: 1 revolution = 6400 mils


A circle is a unit of angular measurement that represents a complete revolution. This unit is useful for understanding rotations and angles in geometric or trigonometric contexts.

Conversion table of Circles 
Circles to Arc Second: 1 circle = 1.296e+7 arc seconds

Circles to Minute of Arc: 1 circle = 21600 minutes of arc

Circles to Degrees: 1 circle = 360 degrees

Circles to Radians: 1 circle = 6.28319 radians

Circles to Gradians: 1 circle = 400 gradians

Circles to Revolutions: 1 circle = 400 revolutions

Circles to Mils: 1 circle = 6400 mils


Mils is a unit of angular measurement commonly used in military and artillery settings. It is equal to 1/6400th of a circle, or 0.05625 degrees.

Conversion table of Mils
Mils to Arc Second: 1 mil = 202.5 arc seconds
Mils to Minute of Arc: 1 mil = 3.375 minutes of arc
Mils to Degrees: 1 mil = 0.05625 degrees
Mils to Radians: 1 mil = 0.00098175 radians
Mils to Gradians: 1 mil = 0.0625 gradians
Mils to Revolutions: 1 mil = 0.00015625 revolutions
Mils to Circles: 1 mil = 0.00015625 circles


In conclusion, our Angle Converter provides a powerful and convenient solution for converting angles between different units of angular measurement. Whether you’re working with arc seconds, minutes of arc, degrees, radians, gradians, revolutions, circles, or mils, our converter effortlessly handles the task.

With our Angle Converter, you can easily perform conversions such as:

  1. Arc Second to Minute of Arc
  2. Arc Second to Degrees
  3. Arc Second to Radians
  4. Arc Second to Gradians
  5. Arc Second to Revolutions
  6. Arc Second to Circles
  7. Arc Second to Mils
  1. Minute of Arc to Arc Second
  2. Minute of Arc to Degrees
  3. Minute of Arc to Radians
  4. Minute of Arc to Gradians
  5. Minute of Arc to Revolutions
  6. Minute of Arc to Circles
  7. Minute of Arc to Mils
  1. Degrees to Arc Second
  2. Degrees to Minute of Arc
  3. Degrees to Radians
  4. Degrees to Gradians
  5. Degrees to Revolutions
  6. Degrees to Circles
  7. Degrees to Mils
  1. Radians to Arc Second
  2. Radians to Minute of Arc
  3. Radians to Degrees
  4. Radians to Gradians
  5. Radians to Revolutions
  6. Radians to Circles
  7. Radians to Mils
  1. Gradians to Arc Second
  2. Gradians to Minute of Arc
  3. Gradians to Degrees
  4. Gradians to Radians
  5. Gradians to Revolutions
  6. Gradians to Circles
  7. Gradians to Mils
  1. Revolutions to Arc Second
  2. Revolutions to Minute of Arc
  3. Revolutions to Degrees
  4. Revolutions to Radians
  5. Revolutions to Gradians
  6. Revolutions to Circles
  7. Revolutions to Mils
  1. Circles to Arc Second
  2. Circles to Minute of Arc
  3. Circles to Degrees
  4. Circles to Radians
  5. Circles to Gradians
  6. Circles to Revolutions
  7. Circles to Mils
  1. Mils to Arc Second
  2. Mils to Minute of Arc
  3. Mils to Degrees
  4. Mils to Radians
  5. Mils to Gradians
  6. Mils to Revolutions
  7. Mils to Circles

Frequently Asked Questions (FAQs)

FAQ 1: Can the angle converter handle negative angles?

Yes, the angle converter at can handle both positive and negative angles. Simply input the numerical value of your angle, and the converter will accurately handle the sign during the conversion process.

FAQ 2: Are there any limitations on the angle values that can be converted?

The angle converter tool has a wide range of supported values. It can handle angles of varying magnitudes, from small to large. Whether you’re working with acute angles, obtuse angles, or even reflex angles, the converter can handle them all.

FAQ 3: Can I convert multiple angles simultaneously using the tool?

Absolutely! The angle converter is designed to handle multiple angles simultaneously. You can input a series of angle values, select the input and output units, and obtain the converted values for all the angles with a single click.

FAQ 4: Does the angle converter support mobile devices?

Yes, the is fully compatible with mobile devices. Whether you’re using an Android or iOS device, you can access the converter tool through your device’s web browser and enjoy its functionalities.

FAQ 5: Can I bookmark the angle converter for easy access?

Certainly! To make it even more convenient for you, you can bookmark the tool in your web browser. This allows you to access it with a single click whenever you need to perform angle conversions.

FAQ 6: Is the angle converter available for offline use?

No, the angle converter operates as an online tool and requires an internet connection to function. By being online, it ensures that you always have access to the latest updates and improvements to enhance your user experience.

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