Degrees to Radians Calculator
Introduction & Importance
Converting between degrees and radians is a fundamental skill in mathematics, physics, and engineering. Our calculator simplifies this process, making it accessible to everyone.
How to Use This Calculator
- Enter the value you want to convert in the ‘Degrees’ field.
- Select the unit you’re converting from (degrees or radians).
- Click ‘Convert’ to see the result.
Formula & Methodology
The formula to convert degrees to radians is radians = degrees * (π / 180). Our calculator uses this formula to perform the conversion.
Real-World Examples
Example 1: Convert 90 degrees to radians.
Using our calculator, enter 90 in the ‘Degrees’ field and select ‘deg’. Click ‘Convert’ to see the result: π/2 radians.
Example 2: Convert 45 radians to degrees.
Enter 45 in the ‘Degrees’ field and select ‘rad’. Click ‘Convert’ to see the result: 25.71 degrees.
Example 3: Convert 180 degrees to radians.
Enter 180 in the ‘Degrees’ field and select ‘deg’. Click ‘Convert’ to see the result: π radians.
Data & Statistics
| Degrees | Radians |
|---|---|
| 180 | π |
| 90 | π/2 |
| 45 | π/4 |
| Angle | Radians |
|---|---|
| 0° | 0 |
| 90° | π/2 |
| 180° | π |
| 270° | 3π/2 |
| 360° | 2π |
Expert Tips
- Remember that 180 degrees is equal to π radians.
- To convert from radians to degrees, use the formula degrees = radians * (180 / π).
- Our calculator can also convert from radians to degrees.
Interactive FAQ
What is the difference between degrees and radians?
Degrees and radians are both units of measurement for angles, but they have different bases. Degrees have 360 equal parts, while radians have approximately 5.73 equal parts.
Why are radians used in calculus?
Radians are used in calculus because they make calculations involving angles simpler and more intuitive. This is because the ratio of radians to the length of the arc they subtend is constant, unlike degrees.