Degrees to Radians Converter

Degrees to Radians Conversion

Degrees to Radians is a quick way to move between degrees and radians without guessing or rounding too early. The calculator shows the answer instantly, while the formula and examples make it easier to check the number in real use.

What is 1 degree in radians?

1 degree is 0.0175 radians. This answer uses the same formula as the calculator above, so you can change the input value and compare nearby conversions without leaving the page.

Formula

For this conversion, use: radians = degrees x pi / 180. Enter any value above and the calculator applies the same formula automatically.

Degrees to Radians Examples

The examples below stay close to common values so you can compare your number with nearby conversions and spot-check the result quickly.

Degrees	Radians
1 degree	0.0175 radians
15 degrees	0.2618 radians
30 degrees	0.5236 radians
45 degrees	0.7854 radians
60 degrees	1.0472 radians
90 degrees	1.5708 radians
120 degrees	2.0944 radians
180 degrees	3.1416 radians
270 degrees	4.7124 radians
360 degrees	6.2832 radians

About Degrees

Degrees are common for geometry, maps, rotations, slopes, compass bearings, design tools, and angle measurements.

About Radians

Radians are standard in higher math, trigonometry, programming libraries, physics formulas, and engineering calculations.

Why Degrees to Radians Matters

Angle conversions are common in geometry, trigonometry, physics, engineering, programming, rotations, maps, and design tools. Useful for trig functions, classroom work, calculators, game development, rotations, and geometry problems.

When This Conversion Helps

Useful for trig functions, classroom work, calculators, game development, rotations, and geometry problems. The live calculator is there for one-off values, while the dedicated pages for values from 1 to 1000 make common conversions easy to open, share, and compare.

Accuracy and Rounding

For most everyday uses, the rounded result is enough. When the number is used for engineering, ordering parts, medical records, legal documents, or safety-critical work, keep more decimal places and confirm the required standard.

Quick Check

If the number only needs to be approximate, you can use a rounded mental estimate. When the exact result matters for a label, order, assignment, workout, measurement sheet, or technical note, use the calculated value shown above and keep the formula visible for verification.