Angle Converter
Convert degrees, radians, gradians and turns.
90 ° in radian
1.570796 rad
1 ° = 0.017453293 rad
| Unit | Symbol | Value |
|---|---|---|
| Degree | ° | 90 |
| Radian | rad | 1.570796 |
| Gradian | gon | 100 |
| Turn (revolution) | rev | 0.250000 |
| Arcminute | ' | 5,400 |
| Arcsecond | " | 324,000 |
| Milliradian | mrad | 1,570.796327 |
What does Angle Converter do?
Convert between seven angular units including arcminutes and arcseconds for astronomy and surveying, and milliradians for optics and ballistics. Degrees-minutes-seconds composite entry is supported.
How to Use Angle Converter
- 1Enter an angleOr use the DMS fields for coordinates.
- 2Select the unitsFrom and to.
- 3Read the conversionsIncluding the π-multiple form.
Key Features
- Seven units including arcminutes, arcseconds and milliradians
- Degrees-minutes-seconds composite input and output
- Radians shown as a multiple of π as well as a decimal
- Reference values for common angles
- All units shown at once
Frequently Asked Questions
How do I convert degrees to radians?
Multiply by π/180. 90° is π/2 ≈ 1.5708 radians. The tool shows both the decimal and the exact π multiple.
What is a radian?
The angle subtended when the arc length equals the radius. A full circle is 2π radians, roughly 6.283. It is the natural unit for calculus, which is why trigonometric functions in every programming language expect radians.
What are arcminutes and arcseconds?
Subdivisions of a degree: 60 arcminutes per degree, 60 arcseconds per arcminute. They are used for coordinates and in astronomy, where an arcsecond is roughly the apparent size of a coin at four kilometres.
What is a gradian?
A metric angle unit where a right angle is exactly 100 gradians and a full circle is 400. It was intended to decimalise angles and survives mainly in European surveying.
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Conversions run in your browser using fixed, published factors. Nothing you enter is transmitted, and the tool keeps working with the network disconnected.
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