Degrees to Radians Converter
This calculator allows you to convert degrees to radians easily. It is designed for students, engineers, and math enthusiasts who need quick and accurate conversions.
Calculator
Conversion Results
Data Source and Methodology
All calculations are based on the standard mathematical formula for converting degrees to radians. Learn more about radians.
The Formula Explained
The conversion from degrees to radians is given by the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \).
Glossary of Terms
- Degrees: A measure of angle, 360 degrees form a full circle.
- Radians: The standard unit of angular measure, used in many areas of mathematics.
How It Works: A Step-by-Step Example
For example, to convert 90 degrees to radians: 90 degrees × π/180 = 1.5708 radians.
Frequently Asked Questions (FAQ)
What is a radian?
A radian is a unit of angular measure used in mathematics. It is equal to the angle at the center of a circle whose arc is equal in length to the radius.
Why use radians instead of degrees?
Radians are often used in mathematical calculations because they provide a direct relationship between the angle and the arc length.
How do I convert radians back to degrees?
To convert radians to degrees, use the formula: degrees = radians × 180/π.