How to Convert Radians to Degrees

π = 3.1415926536

π radian = 180°

1 rad = (180°π) degree

1 rad = 57.29577951°

If theta "θ" represents the value in degree and alpha "α" represents the value in radian, then the radians to degrees conversion formula can be written as:

θ_degrees = α_radians × (180°π)

or

degrees = radians × (180°π)

Example 1:

• Convert 3 radians to degrees.
• θ_degrees = α_radians × (180°π) degree
• θ_degrees = 3 × (180°π) degree
• θ_degrees = 540°π degree
• θ_degrees = 540°3.1415926536 degree
• θ_degrees = 171.88733854°

Example 2:

• Convert 3π/2 or 3pi/2 radians to degrees.
• θ_degrees = α_radians × (180°π) degree
• θ_degrees = (3π2) × (180°π) degree
• θ_degrees = (3 × 180°)2 degree
• θ_degrees = 270°

by Wasim Khan and it was last modified on July 22, 2025

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