By Debmedia Technologies LLP · Kolkata, India · Updated
What Is It and When Do You Need It?
An angle measures a turn. Degrees are used in everyday life and navigation, radians in mathematics and physics, and gradians in some surveying work.
This converter handles 7 units for degree and shows the result in all of them at once, so you rarely need a second lookup.
How to Use This Tool
- Type the value you want to convert.
- Choose the unit you have in the From list.
- Choose the unit you want in the To list.
- Press Convert and read the answer and the table of every unit.
How the Calculation Works
Every unit is stored as a multiple of one reference unit (the degree). To convert, the value is multiplied into the reference unit and then divided by the size of the target unit. All factors are exact or taken from standard definitions, and results show up to ten significant digits.
Worked Example
| You enter | You get |
|---|---|
| 1 ° | 0.017453293 rad |
| 10 ° | 11.111111 gon |
| 100 rad | 5729.578 ° |
Reference values:
| From | To |
|---|---|
| 1 Degree | 0.017453293 rad |
| 1 Degree | 1.1111111 gon |
| 1 Degree | 0.0027777778 turn |
| 1 Degree | 60 ′ |
| 1 Degree | 3600 ″ |
| 1 Degree | 17.453293 mrad |
Common Uses
- Maths and trigonometry homework.
- Programming rotations in radians or degrees.
- Surveying and navigation.
- Telescope and astronomy readings in arcminutes and arcseconds.
Tips and Common Mistakes
- A full turn is 360 degrees, 2π radians or 400 gradians.
- To convert degrees to radians, multiply by π and divide by 180.
- Use the table under the answer to see the same value in every unit.
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Frequently Asked Questions
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