How to Convert Degrees to Radians

π = 3.1415926536

180° = π radian

1° = (π180°) radian

1° = 0.0055555556π radian

1° = 0.0174532925 radian

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

α_radians = θ_degrees × (π180°)

or

radians = degrees × (π180°)

Example 1:

• Convert 60° to radian.
• α_radians = θ_degrees × (π180°) rad
• α_radians = 60° × (π180°) rad
• α_radians = π3 rad
• α_radians = 3.14159265363 rad
• α_radians = 1.0471975512 rad

Example 2:

• Convert 150° to radian.
• α_radians = θ_degrees × (π180°) rad
• α_radians = 150° × (π180°) rad
• α_radians = 5π6 rad
• α_radians = (5 × 3.1415926536)6 rad
• α_radians = 15.7079632686 rad
• α_radians = 2.617993878 rad

by Wasim Khan and it was last modified on July 21, 2025

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