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Radians to Degrees Calculator

Convert radians to degrees instantly with accurate results. Enter any radian value and quickly find its equivalent angle in degrees.

Convert Radians to Degrees

Enter your radian value below to calculate the equivalent degrees.

Degrees Result

Degrees = Radians × 180 ÷ π

Radians to Degrees Formula

To convert radians into degrees, multiply the radian value by 180 and divide the result by π. This is the standard conversion formula used in mathematics, geometry, trigonometry, physics, engineering, and other scientific calculations.

Conversion Formula
Degrees = Radians × 180 ÷ π

Since π radians are equal to 180 degrees, this relationship makes it possible to accurately convert any radian measurement into degrees.

How Does the Radians to Degrees Calculator Work?

This calculator uses the standard mathematical conversion formula to transform a radian measurement into its equivalent value in degrees.

1

Enter Radians

Enter the angle measurement expressed in radians.

2

Apply Formula

The calculator multiplies your value by 180 and divides it by π.

3

Get Degrees

Instantly receive the equivalent angle measurement in degrees.

Common Radians to Degrees Conversions

These are some commonly used radian and degree conversions.

π / 6 30°
π / 4 45°
π / 2 90°
π 180°
3π / 2 270°
360°

Why Convert Radians to Degrees?

Radians and degrees are both units used to measure angles. Degrees are commonly used in everyday geometry, while radians are especially important in trigonometry, calculus, physics, and advanced mathematical calculations.

Converting radians to degrees makes angle values easier to understand when working with diagrams, geometry problems, construction measurements, and many scientific applications. This calculator provides a quick and accurate way to complete the conversion.

Frequently Asked Questions

What is the formula for converting radians to degrees?
Multiply the radian value by 180 and divide the result by π.
How many degrees are equal to π radians?
π radians are equal to exactly 180 degrees.
How many degrees are equal to 2π radians?
2π radians are equal to 360 degrees, which represents one complete circle.
Can I convert decimal radians to degrees?
Yes. This calculator supports decimal values and provides an accurate degree conversion.
Where are radians commonly used?
Radians are commonly used in trigonometry, calculus, physics, engineering, computer graphics, and many advanced mathematical applications.