Angle Converter
Quickly convert between different angle units like degrees, radians, and gradians.
Why Use This Tool? ✅
Fast & Accurate
Get precise, real-time conversions as you type, based on standard mathematical formulas.
Supports Multiple Units
Easily convert between degrees, radians, gradians, turns, and more.
Ideal for Multiple Fields
An essential tool for students, engineers, architects, and anyone in a technical field.
User-Friendly
A simple, clean interface that makes converting any angle unit quick and effortless.
A New Angle on Measurement: A Guide to Angle Units 📐
An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex. The measure of an angle is the amount of rotation required to move one side to the position of the other. Several units are used to measure angles, each suited for different applications.
Degrees (°)
The most common unit of angular measure is the degree. A full circle is divided into 360 degrees. This system dates back to ancient Babylon, likely due to the number 360's high divisibility. For finer precision, a degree is divided into 60 minutes of arc ('), and a minute is divided into 60 seconds of arc ("). This unit is used in everyday life, geometry, and navigation.
Radians (rad)
In mathematics and physics, the radian is the standard unit of angular measure. It is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius. A full circle is equal to 2π radians (approximately 6.283 radians). Because radians are directly related to the radius, they simplify many important mathematical formulas, especially in trigonometry and calculus.
Gradians (gon)
Also known as the grad, the gradian is a unit of angle in which a right angle is divided into 100 parts, making a full circle 400 gradians. This unit was introduced as part of the metric system's effort to decimalize measurements. While not as widely used as degrees or radians, it is still found in some fields like surveying.
This converter makes it easy to switch between these different systems, ensuring you can use the right unit for any context, whether you're solving a complex physics problem or building a new project.