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

  1. Enter the numerical value of the angle.
  2. Select the unit you are converting **from**.
  3. Select the unit you are converting **to**.
  4. 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.

About

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.

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