Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds, and revolutions.
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How to use this calculator
- 1
Enter the angle value you want to convert.
- 2
Select the unit you are converting from (e.g. degrees).
- 3
Select the target unit (e.g. radians).
- 4
The result appears instantly.
Frequently asked questions
How do I convert degrees to radians?
Multiply degrees by π/180 (approximately 0.017453). For example, 180° = π radians ≈ 3.14159 rad.
How do I convert radians to degrees?
Multiply radians by 180/π (approximately 57.2958). For example, 1 radian ≈ 57.296°.
What is a gradian?
A gradian (also called gon) divides a right angle into 100 parts, so a full circle = 400 gradians. It is used in surveying and civil engineering.
What are arcminutes and arcseconds?
An arcminute is 1/60 of a degree. An arcsecond is 1/60 of an arcminute (1/3600 of a degree). They are used in astronomy, navigation, and optics.
Angle unit conversion guide
Degrees vs radians
Degrees (°) are the most familiar angle unit, dividing a full circle into 360 parts. Radians are the SI standard, defined so that the arc length equals the radius when the angle = 1 rad. A full circle = 2π radians. Radians are used in mathematics and physics; degrees in everyday geometry.
Key angle conversions
360° = 2π rad = 400 grad = 1 revolution | 180° = π rad | 90° = π/2 rad = 100 grad | 1° = 60 arcminutes = 3,600 arcseconds | 1 rad ≈ 57.296°.
Where angle conversions matter
Trigonometry and calculus use radians. Navigation uses degrees and minutes. Astronomy uses degrees, arcminutes, and arcseconds for celestial coordinates. Surveying uses gradians. CAD and engineering software often support all formats.
Angle: how it works
Unit conversion matters across engineering, science, cooking, and everyday life. This tool applies internationally recognised conversion factors to deliver precise, instant results across all major unit systems — no manual lookup needed.
Who uses this tool?
Scientists, engineers, chefs, and international travellers use this tool daily to bridge the gap between different measurement systems. It eliminates the need to memorise conversion factors or hunt through reference tables.
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