Conversion tool

Convert radians to degrees instantly

Enter a value, see the result, copy it, and save a PDF snapshot.

Input

Type a value, then press Enter to calculate.

Result

0.000 deg

Digits 3

Rounded for readability. Use the arrows to increase or decrease the number of shown digits.

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Notes

Use this space for project notes before saving as PDF.

Disclaimer: Use calculations at your own risk. For critical applications, verify results against your governing standards/specifications.

How it works

We use deg = rad x 57.2957795131.

Exact relationship: 1 rad = 57.2957795131 deg.

Example: 1 rad = 57.296 deg.

Notes: Results are rounded in the default view.

Examples

FAQ

What physical quantity do radians and degrees express?

Radians express angle in a mathematically natural form and are common where angular measurements need to align directly with equations. Degrees express angular measurement, meaning rotational position or geometric opening rather than linear distance or frequency.

What is the difference between radians and degrees?

Radians and degrees both express angular position or opening, but they are favored in different geometric, drafting, analytical, and precision-measurement contexts.

What is the history of the radian?

Radians emerged from mathematical analysis and became standard in physics, controls, and analytical engineering work.

What is the history of the degree?

Degrees come from long-established geometry and astronomy practice and remain the most familiar angular unit in engineering and drafting.

Were the radian and degree discovered by a specific person?

Radians are a mathematical convention rather than a unit discovered by a specific person. Degrees are a historical geometric convention rather than something discovered by one person.

Where are radians and degrees used in science and engineering?

Radians are used in dynamics, controls, trigonometry, vibration, robotics, and analytical engineering calculations. Degrees are used in geometry, CAD, machining, surveying, print reading, and inspection work.

Why do angle units matter in calculations?

Angle units affect geometry, motion analysis, trigonometric calculations, print interpretation, and setup work. Keeping the unit attached helps prevent errors when moving between intuitive drafting units and equation-friendly analytical units.

Can I trust this for critical angular calculations?

Use this for convenience and verify against your governing drawing, standard, or controlled engineering source for critical work. High-precision angular work may also depend on tolerance, datum strategy, and measurement method.

References