What is a radian?
A radian is the angle created when the arc length equals the radius. A full circle contains 2 pi radians.
Calculator
Enter your values
Results
180 Degrees (deg) =
3.141592
Radians (rad)
Base Unit Equivalent
180
Base unit: degrees
Target Unit Context
using trigonometry, calculus, and advanced physics formulas.
Conversion Analysis
Interpret the result and compare it across supported units
Result Summary
180 deg equals 3.141592 rad. The same amount is 180 in the base unit.
Unit Context
Degrees are commonly used when working with geometry, surveying, and everyday angle measurements. Radians are useful when using trigonometry, calculus, and advanced physics formulas.
Practical Comparison
Switching units does not change the underlying quantity. This analysis and the charts show how the same value scales across larger and smaller units so you can choose the most readable format.
How to Use
Step-by-step instructions
- 1Enter the angle value you want to convert.
- 2Choose the source unit such as degrees or radians.
- 3Choose the target unit to see the equivalent angle.
- 4Review the analysis and charts to compare the same angle across all supported units.
Angle Conversion Formula
Each angle is first translated into degrees, then converted to the target angle unit.
Converted Value = Input x (From Unit in deg) / (To Unit in deg)Variables:
degDegrees, the base unit used by this converterExample
Degrees to Radians
Inputs:
Value:180
From:Degrees
To:Radians
Steps:
- 1.180 degrees is the same as pi radians.
- 2.Pi is approximately 3.14159.
Result:
180 deg = 3.14159 rad