Angle Converter

Convert angle units

Features

Supports 11 angle units

Covers degrees, radians, and gradians through minutes and seconds

Converts to all units as you type

Shows conversion results in a list instantly, no button needed

Special units like mils and turns

Includes NATO mils, quadrants, and sextants

High precision to 10 significant figures

Accurately computes even tiny values, such as seconds to radians

How to Use

Enter the value to convert

Enter the angle value in the "Value" field (decimals supported)

Select the base unit of the input

Select the original unit, such as degrees or radians, from the "Base unit" dropdown

Check and copy the converted results

Check the value of each unit listed and copy the rows you need with the copy button

Use Cases

Converting between degrees and radians

Quickly get the values needed for programming or trigonometric calculations

Support for studying math and physics

Use it to check answers to angle conversions for homework or exam prep

Reading survey and astronomical data

Convert angles in minutes and seconds to degrees to grasp the values in documents

Specifying angles in drafting and CAD

Convert gradian or turn notation to degrees to reflect them in drawings

Basic Knowledge

Relationship Between Degrees and Radians

A radian is a unit of angle where the central angle corresponding to an arc equal in length to the radius of a circle is defined as 1, and 180 degrees equals exactly π radians.

Degrees to Radians：The conversion formula from degrees to radians is "radians = degrees × π ÷ 180", and for example, 90 degrees equals approximately 1.5708 radians.
Radians to Degrees：The conversion formula from radians to degrees is "degrees = radians × 180 ÷ π", and 1 radian equals approximately 57.2958 degrees.

What Is a Mil Unit?

A mil is a unit of angle where 1 full rotation is divided into 6400 equal parts (NATO mil), used in artillery and surveying fields, and 90 degrees equals 1600 mils.

Quick Reference for Common Angles

For commonly used angles: 30 degrees = π/6 (approximately 0.5236), 45 degrees = π/4 (approximately 0.7854), 90 degrees = π/2 (approximately 1.5708), and 180 degrees = π (approximately 3.1416) radians.