6.2832 rad = 360.0008°
6.2832 radians equals 360.0008 degrees.
Radians and degrees are two units for measuring angles. This calculator converts radians to degrees instantly using the standard conversion formula. Radians are commonly used in mathematics and physics, while degrees are more familiar in everyday applications and navigation.
Mathematical Explanation
The conversion formula is: degrees = radians × (180/π). One complete circle is 2π radians or 360 degrees, so 1 radian equals approximately 57.2958 degrees. This conversion is essential when working between different mathematical contexts or when using calculators and programming languages that expect angles in different units.
Frequently Asked Questions
A radian is a unit of angle measurement defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One complete circle equals 2π radians, approximately 6.28318 radians.
π radians equals 180 degrees exactly. This is one of the most important conversion values to remember when working with angles.
1 radian equals approximately 57.2958 degrees. More precisely, 1 radian = 180/π degrees.
Radians are the natural unit for angles in mathematics and physics because they simplify many formulas, especially in calculus and trigonometry. Many mathematical relationships become cleaner when expressed in radians rather than degrees.
To convert degrees to radians, multiply by π/180. For example, 90 degrees × π/180 = π/2 radians. You can use our Degrees to Radians calculator for this conversion.
Resources & References
Encyclopedia Resources
- Radian - Wikipedia - Comprehensive guide to radians and angle measurement
- Degree (angle) - Wikipedia - Learn about degrees as a unit of angle measurement
Educational Resources
- Khan Academy - Radians and Degrees - Free lessons on radians and angle conversion
- Math is Fun - Radians - Interactive radians explanations and examples