Radians to Degrees Calculator
Introduction & Importance
Understanding the difference between radians and degrees is crucial in various fields, including mathematics, physics, and engineering. This calculator helps you convert between these two angular units effortlessly.
How to Use This Calculator
- Enter the value you want to convert.
- Select the unit (radians or degrees).
- Click ‘Calculate’.
Formula & Methodology
The conversion formula from radians (θ) to degrees (φ) is:
φ = θ × (180 / π)
And from degrees to radians:
θ = φ × (π / 180)
Real-World Examples
Example 1: Angular Velocity
An object rotates at an angular velocity of 2 radians per second. What is this in degrees per second?
φ = θ × (180 / π) = 2 × (180 / π) ≈ 114.59 degrees/second
Data & Statistics
| Unit | Conversion Factor |
|---|---|
| Radians | 1 |
| Degrees | π / 180 |
| Shape | Angle (Radians) | Angle (Degrees) |
|---|---|---|
| Circle | 2π | 360 |
| Right Triangle (45-45-90) | π/4 | 45 |
Expert Tips
- Remember, radians are a unitless measure, while degrees are a unit.
- To convert between radians and degrees, you can use the calculator above or the formulas provided.
Interactive FAQ
What is the difference between radians and degrees?
Radians and degrees are both units of angular measure, but they have different bases. Degrees are based on a full circle being 360 degrees, while radians are based on the radius of a circle.