Radian to Degree Converter

Expert Guide to Radian to Degree Conversion

Introduction & Importance

Converting radians to degrees is crucial in mathematics, physics, and engineering. Understanding this conversion helps in solving complex problems accurately.

How to Use This Calculator

Enter the value in radians.
Click ‘Convert’.
See the result and chart below.

Formula & Methodology

The formula to convert radians (θ) to degrees (°) is:

° = θ * (180 / π)

Real-World Examples

Example 1: Angular Velocity

Angular velocity in radians per second is given as 2. Convert this to degrees per second.

°/s = 2 * (180 / π) ≈ 114.59°/s

Example 2: Angle Measurement

A angle is measured as 3 radians. Convert this to degrees.

° = 3 * (180 / π) ≈ 171.89°

Example 3: Circular Motion

The angular displacement of a particle in circular motion is 4 radians. Convert this to degrees.

° = 4 * (180 / π) ≈ 226.55°

Data & Statistics

Radians	Degrees
1	57.2958°
2	114.5916°
3	171.8974°

Degrees	Radians
30°	0.5236 rad
60°	1.0472 rad
90°	1.5708 rad

Expert Tips

Remember, 1 radian is approximately 57.2958 degrees.
Use a calculator for precise conversions.

Interactive FAQ

What is the difference between radians and degrees?

Degrees are a unit of angle measurement based on a full circle being 360 degrees. Radians are a unit of angle measurement based on the radius of a circle.

Why are radians used in calculus?

Radians are used in calculus because they make certain formulas simpler and more elegant. For example, the derivative of sin(x) with respect to x is cos(x) in radians.