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Angle Converter

Angle Conversion Calculator

Convert between degrees, radians, revolutions, and more—because every turn counts.
Angle Converter

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      **Formula:

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      Updated on September 1, 2025

      About Our Angle Conversion Calculator

      Written By
      author
      Nadiba Rahman
      Reviewed by
      author
      Mrinmoy Roy
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      You can quickly convert among angle units with our Angle Conversion Calculator. Use it to switch between degrees, radians, gradians, and more instantly and accurately. This guide shows how the conversion calculator works, breaks down the formulas behind it, and helps you get fast, reliable results in seconds.

      What are Angles?

      An angle is the amount of turn between two lines or surfaces that meet at a point, called the vertex. In simple terms, an angle is a measure that shows how much one line has rotated from another.

      Angles are measured using two common units: Degrees and Radians. A full circle is divided into 360 degrees, which is the most familiar unit used in everyday tasks. In contrast, a full circle is also equal to 2π radians, a unit mostly used in trigonometric functions like sine, cosine, and tangent.

      Angles are essential in many fields, including geometry, trigonometry, mapping, and geography. A protractor, a semi-circular or circular tool marked with degrees, is used to measure angles accurately.

      Angles can also be negative when measured in the clockwise direction. For example, -90° angle is equivalent to 270° measured counterclockwise.
      A Circle Showing Different Angles

      Types of Angles

      The most common types of angles are:
      1. Acute angle: An acute angle is one that measures less than 90 degrees.
      2. Right angle: A right angle measures exactly 90 degrees.
      3. Obtuse angle: An obtuse angle measures more than 90 degrees but less than 180 degrees.
      4. Straight angle: A straight angle measures exactly 180 degrees, forming a straight line.
      5. Reflex angle: A reflex angle measures more than 180 degrees but less than 360 degrees.
      6. Full angle: A full angle measures exactly 360 degrees, completing a full rotation.
      Types of Angles
      Here’s a quick summary of the different types of angles:
      Type of AngleMeasurement
      Acute angleLess than 90°
      Right angleExactly 90°
      Obtuse angleBetween 90° and 180°
      Straight angleExactly 180°
      Reflex angleBetween 180° and 360°
      Full angleExactly 360°

      Units of Our Angle Conversion Calculator

      Our calculator supports a wide range of different angle unit measurements. You can freely choose and convert between any of the following units instantly:
      1. Degree (°): Degree is the most commonly used unit for measuring angles, where a full circle equals 360 degrees.
      2. Radian (rad): A full circle equals 2π radians.
      3. Gon: Gon is also called Gradian. A full circle is equal to 400 gradians.
      4. Grad: Grad is also known as Gradian. A full circle equals 400 gradians.
      5. Mil (mils): This unit is generally used for military calculations. One mil equals 1/6400 of a full circle.
      6. Minute (‘): This angle unit is also called ‘Arcminute’, where one degree equals 60 minutes.
      7. Point (pt): This unit is used in typography. One point is 1/72 of an inch.
      8. Revolution (rev): It represents a full turn around a circle. One revolution is equal to 360 degrees.
      9. Second ("): It is also known as ‘Arcsecond’, where one minute equals 60 seconds.
      10. Sextant (sext): Sextant is used in navigation, typically expressed in degrees, minutes, and seconds.
      11. Turn: It’s a unit that represents one complete rotation or 360 degrees or 2π radians.

      Angle Conversion Table

      Here is a useful angle conversion chart that shows the conversion factors between various angle units. Click the button below to download the full chart. Use it as a quick reference for all your angle calculations.

      How to Use Our Angle Conversion Calculator?

      Using our angle conversion calculator is quick and simple. Just follow these easy steps:
      1. Choose the preferred units you want to convert from and to, like radians to degrees or degrees to seconds.
        Choosing the Conversion Units
        The time you select the units, a real-time formula preview appears that helps you understand how the conversion works between the selected two units.
        Real-time Formula Preview
      2. Enter the angle value in the ‘Convert from’ field as input.
        Entering Input Value of Angle Unit
      3. The converted result will automatically appear in the desired ‘Convert to’ field.
        Conversion Result in Target Unit
      You can copy the converted result with our instant one-click copy option.

      Features of Our Angle Conversion Calculator

      Our angle conversion calculator is designed to make your work easier with a range of handy features. All of them are easy to access through the settings menu.
      The Settings Menu
      Here’s a quick look at the features that make our calculator simple, smart, and easy to use:

      Adjustable Decimal Precision

      When converting angles, especially in technical or scientific fields, you need precise results. Even a small mistake in decimal placement can mess up your entire calculation. That’s why our angle conversion calculator includes an adjustable decimal precision feature, which gives you full control over how exact you want your results to be.
      Default Decimal Precision
      By default, the calculator displays output values up to 6 decimal places, as shown above. But you can easily change this setting. Just select any number between 0 and 12 to control the number of decimal places in your result. For example, if you select 8 decimal places, it will look something like this:
      Adjustable Decimal Precision with 8 Decimal Places

      Rounding Mode

      In angle conversions, even a small rounding difference matters a lot. Suppose you’re preparing an engineering drawing where the angle must be exactly 65° for accurate machine alignment, but it’s rounded down to 64.9°. This little difference can make the parts not fit the machine correctly.

      That’s why our calculator lets you control how values are rounded. By default, the rounding mode option remains turned off as follows:
      Default Rounding Mode
      But you can easily turn it on if needed and choose how to round either up (ceiling) or down (floor), depending on your task.
      Rounding Mode On

      Multiple Number Display Formats

      Our calculator lets you choose from three number display formats for your angle conversion results:
      1. Standard Decimal (e.g. 12.34524502)
      2. Scientific Notation (e.g. 1.2345245e+1)
      3. Engineering Format (e.g. 1.2345245 × 10^1)
      For most regular angle conversions, the standard decimal format works best because it clearly shows the full number. But when you're dealing with xtremely small or large angle values like 0.0000000039°, the decimal format can be hard to read

      In such cases, switching to scientific format shows it as 3.9e-9°, and engineering format displays it as 3.9 × 10⁻⁹°. These formats make it much easier to read and understand values quickly.
      Let’s say you’re converting 35 degrees to radians and select scientific notation.
      Multiple Number Display Format
      The result will look like this:
      Result In Scientific Notation

      Thousand Separators Toggle

      Reading large angle values like 1234567.89 without commas can be confusing, and it’s easy to make mistakes. To help with that, our calculator comes with a Thousand Separator toggle.
      When you turn it on, large numbers are automatically formatted with commas. For example, 9876543.21 becomes 9,876,543.21, which is much easier to read at a glance Here’s how it looks when the thousand separator is on:
      Thousand Separator Option On
      If you turn it on, the output you’ll get will be separated by commas like the following image:
      Output Separated by Comma

      Built-in Calculator

      Suppose you’re using an online angle converter for your construction project, and suddenly, you need a quick calculation. Switching to another tool can slow you down and increase the risk of mistakes.

      That’s why we’ve added a built-in calculator to our angle conversion tool. Now, you can quickly bring converted values into the calculator and use the calculated results directly within the angle converter.
      Built-in Calculator

      Smooth and Quick Unit Swap

      Sometimes, you might need to switch between angle units, like from degrees to minutes and back again. Doing it manually each time can be a hassle. So, we’ve added a simple unit swap button. Just tap it, and it instantly flips the input and output units for you.
      Quick Unit Swap Option

      Instant Multi-Unit Conversion

      When working with angles, you often need to switch between units like degrees, radians, turns, or revolutions. Doing this manually can take time, especially when you need multiple conversions.

      That's why we introduced the Instant Multi-Unit Conversion feature. It saves your time by automatically calculating and displaying the result in all available units as soon as you enter your value.

      For example, if you convert an angle from minutes to seconds, the calculator will instantly display the result in seconds and also give you the corresponding values in other units, like the image below:
      Real-time Multi Unit Conversion

      Conversion History

      When you're working with multiple angle conversions, you might need to quickly check or verify previous results. Repeating the calculations every time can be time-consuming. That's why we've included a feature in our angle conversion calculator that automatically saves your last 10 conversions even after you leave the site.

      his lets you easily track and access your recent conversions without redoing the work. Simply open the History tab and click any past entry to reload it instantly. Here’s an example:
      Conversion History

      3 Examples of Conversion Using Our Angle Converter

      An angle conversion calculator converts between different angle units, such as degrees, radians, and gradians, using predefined conversion factors. These factors are derived from specific mathematical relationships between the units. The conversion formula typically follows this pattern:Source Unit Value × Conversion Factor = Target Unit ValueTo calculate these conversion factors, specific formulas are used for each pair of units. Below is a breakdown of some commonly used conversion factors from the Angle Conversion Chart:Examples

      Conversion between Degrees and Radians

      To convert degrees to radians, the conversion factor is 0.017453, which is derived from the following formulaSource Unit Value × Conversion Factor = Target Unit ValueRadians = π/180° × Degrees, where π/180° ≈ 0.017453.Similarly, to convert radians to degrees, the conversion factor is 57.29578, which is derived from the following formula:Degrees = 180°/π × Radians, where 180°/π ≈ 57.29578.
      Conversion between Degrees and Radians
      For example, to convert 30 degrees to radians, the formula is:
      30 × 0.017453 = 0.52359 radians.
      To convert 2 radians to degrees, the formula is:
      2 × 57.29578 = 114.59156 degrees.

      Conversion between Turns and Radians

      One turn equals 2π radians. To convert turns to radians, use the formula:

      Radians = Turns × 2π, where 2π ≈ 6.283185 is the conversion factor.

      Again, to convert radians to turns, use the following formula:

      Turns = Radians × (1 / 2π), where 1 / 2π ≈ 0.15915 is the conversion factor.
      Conversion between Turns and Radians
      Now, to convert 0.48 turns to radians, the formula is:
      0.48 × 6.283185 ≈ 3.01593 radians.

      To convert 5.918 radians to turns, the formula is:
      5.918 × 0.15915 ≈ 0.94196 turns.
      Conversion between Degrees and Revolutions
      For instance, to convert 3.75 revolutions to degrees:
      3.75 × 360 = 1350 degrees.
      To convert 1440 degrees to revolutions:
      1440 × 0.002778 ≈ 4 revolutions.

      Conclusion

      Enjoy the versatility of our Angle Conversion Calculator. Convert between units like Degree, Gradian, Mil, Minute, Point, Radian, Revolution, Second, Sextant, and Turn easily and error-free with real-time results. Say goodbye to manual conversion and simplify your task, and ensure accurate angle conversions with our ultimate angle conversion tool.

      Frequently Asked Questions [FAQs]