Angle Converter

What is the Angle Converter?

An angle converter switches between the different units used to measure rotation and inclination — degrees, radians, gradians, arcminutes, and arcseconds. Degrees are what most people learn in school. Radians are used in mathematics and physics. Gradians appear in surveying. Arcminutes and arcseconds appear in navigation, astronomy, and geographic coordinates. CalciHub's angle converter handles all of these, so whether you're working on a geometry problem, a programming project, or reading a topographic map, you can get the right unit instantly.

How Does It Work?

Angle conversions center on the full circle, which is defined differently in each system.

Full circle equivalents:

360 degrees = 2π radians = 400 gradians

Key formulas:

Degrees to Radians: radians = degrees × (π ÷ 180)

Radians to Degrees: degrees = radians × (180 ÷ π)

Degrees to Gradians: gradians = degrees × (10 ÷ 9)

1 degree = 60 arcminutes = 3,600 arcseconds

How to Use CalciHub's Angle Converter

1. Enter the angle value you want to convert.

2. Select the unit you're starting with (degrees, radians, gradians, etc.).

3. Choose the target unit.

4. Read the converted angle immediately.

Tip: In programming, most math libraries (like Python's math module or JavaScript's Math object) use radians by ddefault – convertyour degree value before passing it to functions like sin() or cos().

A Quick Example

A programmer is building a rotation feature in a graphics application. The user inputs a rotation of 45 degrees, but the underlying library function requires radians.

Input: 45 degrees

Converting to radians

45 × (π ÷ 180) = 45 × 0.017453 = 0.7854 radians

Output: 0.7854 rad (or π/4)

The programmer passes 0.7854 to the function, and the rotation works correctly. Using 45 directly would produce a wildly incorrect result — radians and degrees are not interchangeable inputs.

Frequently Asked Questions