Angle Conversion

Degrees to Radians Converter

Instantly convert Degrees (°) to Radians (rad). Essential for mathematics, physics, engineering, and programming when converting degree angles to radians.

Result
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Quick Reference

How to Convert Degrees to Radians

To convert Degrees to Radians, use this formula:

rad = degrees × π/180

Example: Converting 180 ° to Radians gives you 3.14159 rad (π). Just enter your own value in the converter above for an instant result.

Degrees to Radians Conversion Table

Common Degrees to Radians values at a glance — use this as a quick lookup reference:

Degrees (°)Radians (rad)
0 °0 rad
30 °0.523599 rad
45 °0.785398 rad
60 °1.0472 rad
90 °1.5708 rad
120 °2.0944 rad
135 °2.3562 rad
150 °2.618 rad
180 °3.1416 rad
270 °4.7124 rad
360 °6.2832 rad

When to Use Degrees to Radians Conversion

Essential for mathematics, physics, engineering, and programming when converting degree angles to radians. Here are the most common scenarios where you will need this conversion:

About Degrees and Radians

One degree equals π/180 radians (approximately 0.01745 radians). Radians are the SI unit for angles, used universally in mathematics and physics. Trigonometric functions in most programming languages (sin, cos, tan) require radians as input — a common source of bugs when angle values are accidentally left in degrees. A full circle is 2π radians = 360°. Engineers calculating rotation, circular motion, and oscillation always work in radians for formula compatibility.

Related Angle Conversions

All Degrees to Radians Values

Click any specific value below for a dedicated conversion page with formula, table, and nearby values: