Convert angles between degrees, radians, and gradians with visual tools. Perfect for students, engineers, and math lovers. Understand angles with ease.
Convert Angles
Degrees: —
Radians: —
Gradians: —
🧭 What Are Angles?
An angle measures the rotation between two lines meeting at a point (the vertex). It’s a key concept in geometry, engineering, architecture, and navigation.
📏 Common Angle Units Explained
Degrees (°)
- The most common unit.
- A full circle is 360°.
- Used in everyday applications like geometry, maps, and navigation.
Radians (rad)
- A mathematical unit used in higher-level math and physics.
- A full circle is 2π radians (~6.2832 rad).
- Preferred in trigonometry and calculus due to its relationship with π.
Gradians (g)
- Less common but used in surveying and some engineering fields.
- A full circle is 400 gradians, making 1 grad = 0.9°.
- Makes right angles exactly 100 grads.
🔄 How the Converter Works
- Enter a number in degrees, radians, or gradians.
- The tool instantly converts and displays all three values.
- A visual arc shows what that angle looks like on a circle — great for visual learners!
No formulas or calculators needed. It’s all live, interactive, and mobile-friendly.
💡 Interesting Facts About Angles
- Ancient Babylon used base-60 math, which is why we have 360 degrees in a circle.
- Radians are “natural” units — they relate arc length to radius in circular motion.
- A right angle is 90°, π/2 radians, or 100 grads.
- Full rotation? That’s 360°, 2π radians, or 400 grads — three systems, one circle!
- Engineers prefer gradians in some regions (like Europe) for their decimal simplicity.
🧠 Use Cases
- Students: Learning trigonometry, geometry, or calculus
- Engineers: Working with rotations, simulations, and angles in CAD
- Surveyors & Architects: Precision in plotting boundaries and designing structures
- Coders/Game Devs: Animating objects or calculating angular velocity