Angle Unit Converter

What is the Angle Unit Converter?

The Angle Unit Converter is a web-based tool that can convert in real-time between the three main angle units used in mathematics, physics, and engineering: degrees, radians, and gradians. It allows you to easily perform unit conversions essential for trigonometric calculations, solving geometric problems, and engineering design.

Understanding Angle Units

Degrees are the most commonly used angle unit in everyday life, dividing a circle into 360 parts. Radians are the standard in mathematics and science, defined as the ratio of the radius of a circle to the length of an arc. Gradians are used in surveying and some European countries, dividing a circle into 400 parts.

Conversion Standards

This converter is based on precise mathematical relationships. One degree is approximately 0.0174533 radians and approximately 1.11111 gradians. One radian is approximately 57.2958 degrees, and one gradian is 0.9 degrees. All conversions are precisely calculated using the value of pi (π).

Key Features

Supports real-time 3-way conversion between the three units. When you enter a value in any field, it automatically converts and displays in the other two units, allowing you to check values in all units simultaneously with a single input.

Quick Input Buttons

You can enter commonly used angle values with one click for each unit. Degrees provide buttons for 30, 45, 90, and 180 degrees; radians offer π/6, π/4, π/2, and π buttons; and gradians provide 50, 100, 200, and 400 gradian buttons.

Precise Conversion

Displays up to 6 decimal places, providing the precision needed for engineering calculations and scientific research. Meets the accuracy required for trigonometric calculations and angle measurements.

Application Areas

Used in various fields including mathematics education, physics experiments, engineering design, astronomical observation, architectural design, 3D graphics, robotics, and navigation systems. Conversion between degrees and radians is especially frequently needed when using trigonometric functions in programming.

Educational Value

Students can understand the relationships between different angle units and learn the concept of angles more deeply by converting actual values. It’s particularly useful for students who find the concept of radians difficult, as they can directly confirm the relationship with degrees.

Dark Mode Support

The theme is automatically applied according to the system environment, and users can manually toggle between light and dark modes if desired. The selected theme is saved in the browser and maintained on your next visit.

How to Use

Enter a value in the input field of the angle unit you want to convert, and it will automatically convert to the other two units. Decimal input is possible, so it can be used when precise angle calculations are needed. Negative angles cannot be entered, and an error message is displayed for incorrect inputs.

Responsive Interface

Provides an optimized screen for all devices, displaying as a 3-column structure on desktops and naturally switching to vertical scrolling on mobile devices. You can conveniently perform angle conversion in any environment.