Angle Converter

Welcome to our Angle Converter tool! Whether you're working on math, physics, or any technical field, angle conversion is essential. This tool makes it quick and easy to switch between common angle units like degrees, radians, and grads. Simply enter your angle, select the units, and get accurate results in a flash!

How to Use the Angle Converter

Using the Angle Converter is simple. Here’s how to convert between different angle units:

• Input the angle value you want to convert.
• Select the unit of your input angle, such as degrees, radians, or grads.
• Select the unit to which you want to convert, and instantly get the result.

Why Angle Conversion Matters

Angles are fundamental in various fields, from geometry and trigonometry to engineering and astronomy. Converting between angle units allows for consistency in calculations, making it easier to work across different systems. For example, while mathematicians and scientists often use radians, most people are more familiar with degrees. Gradians (or grads) are used in certain engineering and surveying fields. Accurate conversion ensures you have reliable results, no matter the unit used.

Common Angle Units Explained

Degrees (°)

Degrees are the most widely used angle unit and are divided into 360 parts for a full circle. They’re commonly used in everyday measurements, such as angles in shapes and directions on a compass.

Radians (rad)

Radians are commonly used in higher-level mathematics, especially in trigonometry and calculus. One radian is the angle made when the radius of a circle is wrapped along its circumference.

Grads (gon)

Gradians, also known as grads, divide a circle into 400 units. They are used primarily in surveying and some fields of engineering because of their decimal-based convenience.

Angle Conversion Formulas

Here are some of the main formulas used to convert between degrees, radians, and grads:

• Degrees to Radians: radians = degrees × π / 180
• Radians to Degrees: degrees = radians × 180 / π
• Degrees to Grads: grads = degrees × 10 / 9
• Grads to Degrees: degrees = grads × 9 / 10

Angle Conversion Table

Use this table for quick reference of common angle conversions:

Frequently Asked Questions (FAQs)

1. What is the most commonly used angle unit?

Degrees are the most common angle unit for everyday use, while radians are frequently used in scientific and mathematical applications.

2. How do you convert radians to degrees?

To convert radians to degrees, multiply the radians by 180/π.

3. Why are there 360 degrees in a circle?

The use of 360 degrees dates back to ancient Babylonian mathematics, as 360 is easily divisible by many numbers, making it convenient for calculations.

Angle Converter Tool

Try out the Angle Converter tool below to switch between degrees, radians, and grads easily.