Calculator for Degrees

What Are Degree Units?

Degree units are a measure of angle commonly used in geometry, trigonometry, and navigation. There are three primary degree units:

• Degrees (°): The most common unit, where a full circle is 360°.
• Radians (rad): A unit based on the radius of a circle, where 2π radians equal 360°.
• Gradians (grad): Also called grads or gons, where a full circle is 400 grad.

Each unit is useful in different contexts. Degrees are intuitive for everyday measurements, radians are fundamental in calculus and physics, and gradians are used in some European countries for surveying and navigation.

Conversion Formulas

The relationships between degree units are defined by these formulas:

These formulas are implemented in the calculator below. Simply enter a value and select the units to convert between.

How to Use This Calculator

1. Enter the value you want to convert in the input field.
2. Select the unit you're converting from in the "From" dropdown.
3. Select the unit you want to convert to in the "To" dropdown.
4. Click "Calculate" to see the result.
5. Use the "Reset" button to clear the form and start over.

The calculator will display the converted value and show a visual representation of the angle on a circle.

Common Uses of Degree Units

Degree units are used in various fields:

• Geometry: Measuring angles in triangles and polygons.
• Trigonometry: Calculating sine, cosine, and tangent functions.
• Navigation: Determining directions and distances.
• Engineering: Designing structures and machines.
• Physics: Analyzing rotational motion and waves.

Understanding these conversions is crucial for accurate calculations and problem-solving in these disciplines.