Angle Converter

Convert between different angle units including degrees, radians, gradians, arc minutes, arc seconds, and turns.

Angle Converter
ready
$ convert --from [unit] --to [unit] --value [number]
$
>
formulas.ts

// Common Angle Converter Formulas

1const1 circle = 360 degrees = 2π radians
2const1 degree = 60 arcminutes = 3600 arcseconds
3const1 radian ≈ 57.2958 degrees
4const1 gradian = 0.9 degrees
references.json

// Common Angle Converter References

{
"Right Angle":"90°",
"Straight Angle":"180°",
"Full Circle":"360°",
"Clock Hour Angle":"30°/hour",
"Compass Direction":"0-360°",
"Earth's Axial Tilt":"23.44°"
}
README.md

## What is Angle Conversion?

Angle conversion is the process of converting angular measurements between different units. Angles are fundamental in mathematics, physics, engineering, navigation, and many other fields. While degrees are most common in everyday use, radians are essential for calculus and physics, and gradians are used in surveying. Our angle converter handles all common angular units with precision.

units.ts

// Common Angle Units Explained

export const Degree (°)

// The most common angle unit, with 360 degrees in a full circle. Used in navigation, everyday measurements, and basic geometry. Each degree has 60 arc minutes.

export const Radian (rad)

// The SI unit of angle, where 2π radians equals a full circle. Essential for calculus, physics, and engineering. One radian is approximately 57.3 degrees.

export const Gradian (gon)

// Also called gon or grade, with 400 gradians in a full circle. Used primarily in surveying because right angles are exactly 100 gradians.

i

When to Use This Converter

Our angle converter is essential for students studying trigonometry and calculus, engineers working with rotation and angular velocity, surveyors and cartographers, game developers calculating rotations, astronomers measuring celestial positions, and anyone working with angular measurements in different systems.

FAQ.md

## Frequently Asked Questions

01 ### Q: How do I convert degrees to radians?

/**

Multiply degrees by π/180. For example, 90° = 90 × π/180 = π/2 radians ≈ 1.571 radians.

*/

02 ### Q: Why are radians important in math?

/**

Radians simplify many mathematical formulas, especially in calculus. The derivative of sin(x) is cos(x) only when x is in radians.

*/