Enter angle values
Formula used
Radians = Degrees × π ÷ 180
Multiply the degree value by π. Divide the product by 180. Simplify the fraction whenever an exact form exists.
Degrees = Radians × 180 ÷ π
This reverse formula converts radians into degrees. It also supports decimal and π-based radian inputs. The result can include normalized coterminal angles.
How to use this calculator
- Select the required conversion direction.
- Choose a single, batch, or DMS input.
- Enter the angle values and precision.
- Enable normalization when extra angle details are needed.
- Select Convert angle to view complete results.
- Copy, download, or print the displayed calculations.
Common degree and radian values
| Degrees | Exact radians | Decimal radians |
|---|---|---|
| 0° | 0 | 0 |
| 15° | π/12 | 0.261799 |
| 30° | π/6 | 0.523599 |
| 45° | π/4 | 0.785398 |
| 60° | π/3 | 1.047198 |
| 90° | π/2 | 1.570796 |
| 120° | 2π/3 | 2.094395 |
| 135° | 3π/4 | 2.356194 |
| 150° | 5π/6 | 2.617994 |
| 180° | π | 3.141593 |
| 270° | 3π/2 | 4.712389 |
| 360° | 2π | 6.283185 |
Calculation history
Saved calculations will appear here.
Frequently asked questions
How do I convert degrees to radians?
Multiply degrees by π and divide by 180. Then simplify the resulting fraction. Decimal radians can also be displayed.
Why does 180 degrees equal π radians?
A half-circle measures 180 degrees. The same rotation measures π radians. Both units describe an identical angle.
Can this calculator handle negative degrees?
Yes, negative angles are fully supported. Their signs remain in exact results. Normalized equivalents can also be shown.
Can I enter a degree symbol?
Yes, inputs like 45° are accepted. Plain numeric inputs also work. Extra degree wording is removed safely.
What is an exact π result?
An exact result keeps π in the expression. For example, 60° becomes π/3. It avoids premature decimal rounding.
How does batch conversion work?
Choose the multiple angles input format. Separate values with commas or new lines. Up to 200 values are supported.
What is DMS angle notation?
DMS means degrees, minutes, and seconds. Sixty minutes form one degree. Sixty seconds form one minute.
What is a normalized angle?
A normalized radian angle lies from zero through 2π. A normalized degree angle lies below 360 degrees. Coterminal angles represent equal rotations.
Can I convert radians back to degrees?
Yes, select radians to degrees. Decimal radians and values like π/2 are accepted. The calculator shows complete steps.
How many decimal places are available?
You may choose zero through twelve places. Exact π fractions remain unchanged. Decimal output follows the selected precision.
How can I save my results?
Use CSV for spreadsheet data. Use print to save a PDF. The copy button captures every displayed calculation.