Degrees to Radians Converter
Type an angle in degrees and get it in radians instantly — including the exact form in terms of π when one exists (90° is π/2, not 1.5708). Go the other way too: paste a radian value like 3π/4 or a decimal, and the degrees appear.
Trigonometry, physics and every graphing calculator live in radians, while every compass and protractor lives in degrees — this converter is the bridge between the two worlds, with the π-based exact answers math teachers want to see.
| Degrees | Radians (exact) | Decimal |
|---|---|---|
| 30 | pi/6 | 0.5236 |
| 45 | pi/4 | 0.7854 |
| 60 | pi/3 | 1.0472 |
| 90 | pi/2 | 1.5708 |
| 180 | pi | 3.1416 |
| 270 | 3pi/2 | 4.7124 |
| 360 | 2pi | 6.2832 |
How to use
- Type an angle in degrees — the radian value appears instantly, exact π form when available.
- Or type radians (decimals like 1.5708, or π-forms like 3pi/4) to get degrees.
- Check the common-angle table below for the values worth memorizing.
Frequently asked questions
How do you convert degrees to radians?
Multiply by π and divide by 180: radians = degrees × π/180. So 90° = 90 × π/180 = π/2 radians. The converter shows both the exact π-form and the decimal.
Why does math use radians instead of degrees?
Radians make calculus and trig identities clean: sin(x) Derivative works only in radians, and arc length is simply radius × angle. Degrees are human convention; radians are mathematical nature.
What is 1 radian in degrees?
About 57.2958°. One radian is the angle where the arc length equals the radius — a full circle is 2π radians, which is why π shows up everywhere in circle math.
How do I type π into the converter?
Just write pi or 3pi/4 — the converter understands pi as π. Decimals like 1.5708 work equally well.