Contact

Angle Converter

Convert angles instantly between degrees, radians, gradians, revolutions, arcminutes, arcseconds, milliradians, and microradians. Use the free calculator, reference table, and common conversion formulas below.

20converters
Quick Converter
Results update instantly as you type
From
To
3.141593
Try:
Conversion Result
180 deg = 3.141593 rad
× 0.01745329
Reference Conversion Table 1 unit → other units
Unit → Degrees → Radians → Gradians → Revolutions → Arcminutes → Arcseconds

Free Angle Converter

This free angle converter helps you convert between the most common angular units used in mathematics, engineering, navigation, physics, and technical drawing. You can quickly convert degrees to radians, radians to degrees, gradians to degrees, revolutions to radians, and smaller precision units such as arcminutes, arcseconds, milliradians, and microradians.

Use the calculator above to enter a value, choose the input unit, and select the output unit. Results update instantly. The reference table below also shows how 1 unit converts to other angle measurements, which is useful for formulas, classroom work, engineering calculations, and quick checks.

A full circle equals 360 degrees, 2π radians, 400 gradians, or 1 revolution. Smaller units such as arcminutes and arcseconds are commonly used when high precision is required.

Common Angle Conversion Formulas

Conversion Formula
Degrees to Radians radians = degrees × π / 180
Radians to Degrees degrees = radians × 180 / π
Degrees to Gradians gradians = degrees × 10 / 9
Revolutions to Degrees degrees = revolutions × 360
Degrees to Arcminutes arcminutes = degrees × 60
Degrees to Arcseconds arcseconds = degrees × 3600

Angle Converter FAQ

What is 180 degrees in radians?

180 degrees equals π radians, which is approximately 3.141593 radians.

How many degrees are in 1 radian?

1 radian equals approximately 57.2958 degrees.

What is the difference between degrees and gradians?

A full circle is 360 degrees or 400 gradians. Gradians are sometimes used in surveying and engineering.

How many arcminutes are in 1 degree?

1 degree equals 60 arcminutes, and 1 arcminute equals 60 arcseconds.