Angle Unit Converter - Angle Conversion

📌 Core conversion logic: All units are first converted to radians, then converted from radians to the target unit. 1 turn = 2π radians = 360 degrees = 400 gradians = 21600 arcminutes = 1296000 arcseconds.
📌 Degree (°): The most common angle unit, with one full circle equal to 360 degrees.
📌 Radian (rad): The SI unit of angle, where 180° = π radians.
📌 Gradian (grad): A right angle is 100 grad, and one full circle is 400 grad, often used in surveying.
📌 Arcminute / Arcsecond: 1 degree = 60 arcminutes, 1 arcminute = 60 arcseconds, commonly used in astronomy and navigation.

What is Angle Unit Converter?

Angle Unit Converter is a free online angle conversion tool that supports mutual conversion between degrees (°), radians (rad), gradians (grad), arcminutes (arcmin), arcseconds (arcsec), and turns (turn). For users who frequently need angle unit conversion, it can quickly convert one angle unit to another and avoid errors caused by manual calculation. Whether a student is working on a degree to radian problem in math homework or an engineer is performing radian to degree calculation in a surveying scenario, they can directly enter a value and get an accurate result. The tool covers six common angle units and keeps six decimal places, meeting the precision needs of most daily learning and professional scenarios.

How to use Angle Unit Converter?

Using Angle Unit Converter takes only three steps. First, enter the angle value you want to convert in the "Enter Value" field, such as 180. Second, select the source unit from the "From" drop-down menu and the target unit from the "To" drop-down menu, for example from degree to radian. Third, click the "Convert" button, and the page will immediately display the conversion result and intermediate calculation steps. If you want to convert in reverse, click the "Swap Units" button, and the source and target units will be swapped automatically and recalculated. Click "Copy Result" to copy the conversion summary with one click, and click "Reset" to return to the default 180 degrees to radians state. No registration is required for the entire process, and all calculations are completed locally in the browser.

Knowledge about angle unit conversion and trigonometric calculations

Angle unit conversion is widely used in mathematics, physics, engineering, and astronomy. In trigonometric calculations, degrees and radians are the two most commonly used units. Many programming languages and calculators use radians by default for trigonometric functions, so mastering the degree to radian conversion method is very important. Gradian (grad) defines a right angle as 100 grad, and one full circle is 400 grad, which is common in surveying and civil engineering. Arcminutes and arcseconds are often used in astronomy, navigation, and optics, where 1 degree equals 60 arcminutes and 1 arcminute equals 60 arcseconds. A turn represents one complete rotation, and 1 turn equals 360 degrees and also equals 2π radians. Understanding the conversion relationships between these units can help you accurately express angle information in different scenarios.

Angle Unit Converter FAQ