Angle Conversion Calculator
An Angle Conversion Calculator is a tool used to convert angles from one unit of measurement to another. Angles can be measured in different units, and the most common units are degrees (°), radians (rad), and gradians (gon). This calculator simplifies the process of converting between these units.
Why Use an Angle Conversion Calculator?
Angles are used in many fields such as geometry, trigonometry, physics, engineering, and computer graphics. Different disciplines or problems may require angles to be in different units. For example:
- Degrees are commonly used in everyday contexts, like navigation, maps, or general geometry.
- Radians are preferred in higher mathematics and physics, especially in trigonometry and calculus.
- Gradians are sometimes used in specific engineering or surveying tasks.
A calculator helps you quickly convert between these units without manual calculations, saving time and reducing the chance of errors.
How Does It Work?
To convert angles, the formulae used are:
-
Degrees to Radians:
radians=degrees×(π/180) -
Radians to Degrees:
degrees=radians×(180/π) -
Degrees to Gradians:
gradians=degrees×(10/9) -
Gradians to Degrees:
degrees=gradians×(9/10) -
Radians to Gradians:
gradians=radians×(200/π) -
Gradians to Radians:
radians=gradians×(π/200)
The calculator uses these formulas to perform the conversion instantly.
When Do You Use It?
You would use an Angle Conversion Calculator whenever you need to switch between different angle units for any of the following reasons:
- Solving trigonometric equations.
- Working with geometry problems where angles are presented in various units.
- Converting results from one system to another in fields like physics or engineering.
- Programming, especially in game development or graphics, where certain calculations may require radians while others might use degrees.