deg to rad Converter
Convert degrees to radians instantly with our deg to rad converter. Fast, accurate angle conversion for math, engineering, and science calculations.
Degree
Radian
How to convert deg to rad
Transform degree values into radians in three quick steps.
Enter the degree value
Type or paste the angle in degrees (°) into the input field.
Apply the radian formula
The tool multiplies your number by π/180 to perform the conversion.
Copy your radian result
The converted value appears instantly, ready for equations or reports.
Why use this deg to rad Converter?
Skip manual math and get reliable radian values in milliseconds.
The Mathematical Formula
The conversion uses rad = deg × (π/180), scaling 360° to the 2π radian system.
Precision for Technical Work
Engineers and students get accurate outputs suitable for calculus and physics problems.
Runs on Any Device
The converter works in any browser, on desktop and mobile, with no setup required.
Quick Reference
| Degree | Radian |
|---|---|
| 1 deg | 0.0175 rad |
| 2 deg | 0.0349 rad |
| 5 deg | 0.0873 rad |
| 10 deg | 0.1745 rad |
| 20 deg | 0.3491 rad |
| 50 deg | 0.8727 rad |
Practical Examples of deg to rad
Real-world scenarios where this conversion is useful.
Robotics Joint Angles
Converting a 90° servo rotation into its radian equivalent for motion control code.
Physics Wave Equations
Transforming a 45° phase shift into radians for sinusoidal waveform calculations.
Triangle Interior Angles
Changing 60° into radians when solving trigonometric identities or law of cosines.
Navigation Bearings
Translating a 180° compass heading into radians for vector-based mapping software.
Frequently Asked Questions
Common queries regarding this specific conversion.
Q.What is the formula to convert deg to rad?
Multiply the degree value by π/180, or roughly 0.0174533, to obtain radians.
Q.Why is π/180 used in the conversion?
A full circle is 360° or 2π radians, so dividing 2π by 360 yields the π/180 constant.
Q.How many radians are in 180 degrees?
180 degrees equals exactly π radians, approximately 3.14159.
Q.Is this tool accurate for trigonometry?
Yes, it delivers results with standard mathematical precision suitable for trig functions and equations.
Discover Related Tools
Need to convert back? Use the reverse Radian to Degree calculator. For other measurements, explore our complete suite of Angle & Rotation Converters or the full Unit Converter Hub.