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.
Engineering and Architecture
Our angle converter tool is particularly useful in engineering and architecture applications where angles need to be converted between different units of measurement. For example, architects may need to convert angles measured in degrees to radians for design purposes, while engineers may need to convert angles measured in gradians to degrees for calculations.
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°.
How do I convert between different units of measurement for the same angle?
Our angle converter tool allows you to convert between different units of measurement, such as degrees, radians, and gradians, for the same angle. Simply enter the angle in one unit of measurement and select the desired unit of measurement from the drop-down menu.
Can I use your angle converter tool to convert angles between different reference frames?
Yes, our angle converter tool can convert angles between different reference frames. For example, you can convert an angle measured in one coordinate system to the corresponding angle in another coordinate system.