Unit Converters Tool
Angle Converter
Convert between degrees, radians, gradians, and quadrants.
Σ The Formula
Radians = Degrees × (π / 180)
Real World Examples
Pi Radian
π Radians = 180 Degrees
Right Angle
90 Degrees = 1 Quadrant
Gradian Circle
360 Degrees = 400 Gradians
# About This Calculator
An angle converter is a mathematical tool used to switch between different systems of angular measurement. While Degrees are the most common unit in everyday life (dividing a circle into 360 parts), Radians are the standard unit used in calculus and physics.
Other units include Gradians (used in some civil engineering applications, where a right angle is 100 units) and Quadrants (which represent 1/4 of a full rotation).
Understanding these conversions is crucial for trigonometry, engineering, and astronomical calculations where different fields may prefer one unit over another for convenience or precision.
How To Use
- Enter the numerical value of the angle.
- Select the unit you are converting **from**.
- Select the unit you are converting **to**.
- The converted value and steps will appear below.
Frequently Asked Questions
Why use radians instead of degrees?+
Radians are more 'natural' for mathematics because they relate the arc length of a circle to its radius. This significantly simplifies formulas in calculus, such as derivatives of sine and cosine functions.
How many degrees are in one radian?+
Approximately 57.2958 degrees. Since π radians equals 180 degrees, one radian is 180/π.
Is Angle Converter free to use?+
Yes, Angle Converter on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Angle Converter?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Angle Converter are accurate for academic and professional use.
Can I use Angle Converter on my phone?+
Yes! Angle Converter is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.