Radians to Degrees Calculator (and Degrees to Radians) with π Form
Choose the direction. Radians can be typed with π (π/3, 3π/4); degree answers include degrees-minutes-seconds and radian answers a simple π fraction where possible.
- Nothing you type is stored
- Free
- No signup
In degrees
60°
- Degrees, minutes, seconds
- 60° 0′ 0″
- Radians (decimal)
- 1.04719755
Show working
- deg = rad × 180/π
- = 1.04719755 × 180/π
- = 60°
How to use
- Choose radians → degrees or degrees → radians.
- Type the angle (π/3, 1.5 or 135).
- Read the converted value and the steps.
Good to know
Formulas: degrees = radians × 180/π, and radians = degrees × π/180. One full turn is 360° = 2π rad, so 1 rad ≈ 57.2958° and 1° ≈ 0.0174533 rad.
Common pairs: 30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2, 180° = π, 270° = 3π/2. The calculator shows any angle as a π fraction when it is a simple one, like 57.5° = 23π/72.
Degrees-minutes-seconds: 1° = 60′ (minutes) and 1′ = 60″ (seconds), so 57.2958° is 57° 17′ 44.81″. This form is used in surveying, maps and astronomy.
Questions
How many degrees is 1 radian?
180/π ≈ 57.2958°, or 57° 17′ 45″.
How do I convert 135° to radians?
135 × π/180 = 3π/4 ≈ 2.3562 rad.
Can I type π?
Yes. Use π or “pi”, e.g. 2π/3, pi/4 or 1.5π.
Why do calculus and physics use radians?
Formulas such as the derivative of sin x = cos x and arc length = rθ are simplest when angles are in radians.
Is my data stored or sent anywhere?
No. The calculation runs entirely in your browser; nothing you type leaves your device.