Angle Converter
Convert angles between degrees, radians, gradians, revolutions, arcminutes and arcseconds with full precision.
Written by Rahman · Last reviewed
Quick answer
Angle conversion here runs through the degree. One radian is 57.296 degrees, a full revolution is 360 degrees or 2π radians, and one gradian is 0.9 degrees, the metric attempt at angle measure, dividing a right angle into 100 parts instead of 90. One degree is 60 minutes of arc.
| Degree (°) | 1 |
| Radian (rad) | 0.01745329252 |
| Gradian (grad) | 1.111111111 |
| Minute of arc (') | 59.99999988 |
| Second of arc (") | 3599.999712 |
| Revolution (rev) | 0.002777777778 |
About the Angle Converter
An angle measures the rotation between two lines or directions. Degrees are the everyday unit, radians are the mathematical standard, and gradians divide a right angle into 100 parts.
This converter is used in geometry, navigation, engineering and any field where angles must be expressed in different units.
Frequently Asked Questions
How many degrees are in a radian?
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One radian equals about 57.2958 degrees. A full circle is 2π radians, or 360 degrees.
What is a gradian?
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A gradian (or gon) divides a right angle into 100 parts, so a full circle is 400 gradians. It is used in some surveying work.
When should I use radians instead of degrees?
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Radians are preferred in mathematics and physics because they simplify formulas involving circles, waves and calculus.