Radians to Degrees Converter
rad
—
°
Formula: degrees = radians × 180 / π
Radians to Degrees Converter
Converting radians to degrees is essential when you need to express mathematical results in the more intuitive degree format used in everyday life.
Conversion Formula
degrees = radians × 180 / π
Since 2π radians = 360°, we get 1 radian = 360/(2π) = 180/π degrees. Multiply any radian value by 180/π to convert.
Step-by-Step Examples
1.5708 rad = 90°
π/2 radians is a quarter turn, or a right angle.
3.14159 rad = 180°
π radians is a half turn, or a straight angle.
Frequently Asked Questions
How do you convert radians to degrees?
Multiply the radian value by 180/π. For example, π/2 × 180/π = 90 degrees.
What is 1 radian in degrees?
1 radian equals 180/π ≈ 57.2958 degrees.
How many radians in a right angle?
A right angle (90°) equals π/2 ≈ 1.5708 radians.
When should I use radians vs degrees?
Use radians for mathematical calculations, calculus, and programming. Use degrees for everyday angles, navigation, and geometry.
What is 2π radians in degrees?
2π radians equals 360 degrees — one complete revolution.