Radians to Degrees Converter
Convert radians to degrees instantly — degrees = rad × 180/π, so 1 rad = 57.2958° and π rad = 180°. Works in both directions.
About the Radians to Degrees Converter
This free radians to degrees converter multiplies by 180/π, so 1 radian becomes 57.2958° and π radians exactly 180°. Enter radians (as a decimal like 1.5708) in one field or degrees in the other — both directions convert live.
Radian output is what calculators in the wrong mode, programming functions like Math.atan2, and physics formulas hand you — while intuition, protractors and CAD tools speak degrees. Converting back is essential when interpreting an angle of 0.7854 returned by code (45°), reading angular velocity in rad/s, or checking calculus answers against a diagram.
The reference table includes the key landmarks: π/6, π/4, π/2, π and 2π alongside plain decimal values.
How to Use the Radians to Degrees Converter
- 1Enter an angle in radians (decimal form, e.g. 1.5708 for π/2) — degrees appear instantly.
- 2Or type degrees to convert back to radians.
- 3Copy the result, or use the table of standard angles.
Frequently Asked Questions
How many degrees is 1 radian?
1 radian equals 180/π ≈ 57.2958 degrees (57° 17′ 45″). Two radians are 114.59°, and 0.5 rad is 28.65°.
How many degrees is π radians?
π radians is exactly 180°. From that anchor: π/2 = 90°, π/3 = 60°, π/4 = 45°, π/6 = 30°, 3π/2 = 270° and 2π = 360° — one full circle.
How do I convert radians to degrees?
Multiply by 180/π ≈ 57.29578. For example, 2.5 rad × 57.2958 = 143.24°. If your value is written with π, replace π with 180: 3π/4 rad = 3 × 180/4 = 135°.
My calculator gives 0.8415 for sin(1) — why?
It's in radian mode: sin(1 rad) = 0.8415, whereas sin(1°) = 0.01745. If trig answers look wrong, check the DEG/RAD mode indicator — this converter tells you 1 rad is 57.3°, which explains the difference.
What is angular speed of 1 rad/s in degrees and rpm?
1 rad/s equals 57.2958 degrees per second, or about 9.549 rpm (multiply rad/s by 60/2π). Going the other way, one full rotation per second (360°/s) is 2π ≈ 6.283 rad/s.