Angle Converter
Convert between degrees, radians, gradians, and arcminutes. Essential for maths, engineering, and navigation.
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Degrees (360°/circle) are most common. Radians (2π/circle) are the maths standard. Gradians (400/circle) are used in surveying.
Why Mathematicians Use Radians
In calculus, derivative of sin(x) = cos(x) only in radians. π rad = 180°. Most programming languages use radians.
Degrees, Minutes, Seconds of Arc
1° = 60 arcmin = 3,600 arcsec. GPS: 37°46'26" S = 37 degrees, 46 arcmin, 26 arcsec south.
How to Use This Calculator
- Select 'Angle'
Choose the category from the dropdown.
- Select your source unit
Pick the unit you're converting from.
- Enter the value
Type the number. Results update instantly.
- Select your target unit
Choose the unit you need.
Applications
Navigation and GPS
GPS coordinates in DMS convert to decimal degrees for mapping: 37°46'26" S = 37.7737° S.
Computer Graphics
Game engines use radians internally; display degrees for designers.
Engineering and Construction
Surveying uses degrees and gradians. Road gradients (% rise) convert to degrees.
Frequently Asked Questions
How do you convert degrees to radians?
Multiply by π/180. 90° = π/2 ≈ 1.5708 rad. Code: rad = deg * Math.PI / 180.
How do you convert radians to degrees?
Multiply by 180/π. π rad = 180°. Code: deg = rad * 180 / Math.PI.
What is a gradian?
1/400 of a circle. 100 grad = right angle. Used in European surveying. 1 grad = 0.9°.