Angle Converter

Why Use This Angle Converter?

Precise angle conversion is non-negotiable in fields like civil engineering, astrophysics, and CNC machining. Manual conversions using π (pi) approximations often introduce cumulative rounding errors. Our Angle Converter solves this by using high-precision algorithmic constants to switch seamlessly between Degrees, Radians, and Gradians.

Whether you are calculating rotational dynamics in Milliradians or plotting navigational coordinates in Arcseconds, this tool ensures 100% accuracy. It bridges the gap between the Degree-based systems used in general geometry and the Radian-based systems preferred in calculus and trigonometry.

How to Use

1. Input Value: Enter your numeric angle in the "From" field.
2. Select Units: Choose your source unit (e.g., Degrees) and target unit (e.g., Radians).
3. Get Results: The tool converts instantly. Click "Copy Result" to paste the data into your work.

Frequently Asked Questions

How to do angle conversion?

To convert angles, you multiply by a specific ratio derived from the circle constant. A full circle equals 360°, 2π radians, or 400 gradians. For example, to convert Degrees to Radians, multiply the degree value by π/180.

How do you convert degrees to directions?

In navigation, 0° (or 360°) represents true North. Moving clockwise: 90° is East, 180° is South, and 270° is West. Intermediate directions divide these quadrants (e.g., Northeast is 45°).

How to convert degrees to coordinates?

To convert an angle (θ) and radius (r) into Cartesian coordinates (x,y), use the trigonometric formulas: x = r × cos(θ) and y = r × sin(θ). Note that most software requires the angle (θ) to be in Radians, not Degrees.

How do you convert numbers to angles?

Use inverse trigonometric functions. If you have the ratio of two sides of a right triangle (e.g., Opposite/Hypotenuse), use the arcsine function (sin⁻¹) to calculate the angle in degrees or radians.

What is the formula for the change of an angle?

Angular displacement (Δθ) is the difference between the final angular position and the initial angular position. The formula is: Δθ = θ_final - θ_initial.