Angle Converter

A Handy Tool for Geometry and Trigonometry

This Angle Converter is a useful tool for mathematics, physics, and engineering. It allows for quick and accurate conversions between the most common units of angular measurement, including degrees, radians, and gradians.

The Conversion Formulas Explained

The relationships are based on a full circle:

• A full circle is 360 degrees (°).
• A full circle is 2π radians (rad).
• A full circle is 400 gradians (grad). From this, we get the key conversion factors:
• Radians = Degrees * (π / 180)
• Degrees = Radians * (180 / π)

How to Use the Calculator

1. Enter Value: Input the angle value you want to convert.
2. Select 'From' Unit: Choose the starting unit.
3. Select 'To' Unit: Choose the target unit. The converted result will appear instantly.

Real-World Example

You need to convert 90 degrees into radians.

1. Enter 90 in the 'From' field.
2. Select Degrees as the 'From' unit.
3. Select Radians as the 'To' unit.

• The calculator will show the result π/2, which is approximately 1.571 radians.

Frequently Asked Questions (FAQ)

• Why are radians used? Radians are the standard unit of angular measure in many areas of mathematics. They are preferred in calculus because they simplify many important formulas involving trigonometric functions.
• What is a gradian? The gradian is a unit where a right angle is divided into 100 grads (so a full circle is 400 grads). It was introduced to bring decimal multiples to angles but is not widely used today outside of some surveying fields.
• What is a mil? A mil (milliradian) is another unit used in military contexts. There are approximately 6283 mils in a full circle.