Degrees to Radians Calculator
Convert degree angles to radians
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Degrees to Radians Formula
radians = degrees × π / 180
Degrees and radians are two ways to measure angles. Since 180 degrees equals π radians, multiplying by π/180 converts degrees into radians.
⚠ The result is a decimal radian value. For exact symbolic forms, common angles can also be written as fractions of π.
How Degrees to Radians Conversion Works
A full circle is 360 degrees or 2π radians. The conversion factor π/180 comes from dividing both measurements by 180.
Degree Measure
A full circle is 360°.
Radian Measure
A full circle is 2π radians.
Conversion Factor
Multiply degrees by π/180.
Common Angle
180° equals π radians.
💡 Example: For 90°, radians=90×π/180=1.570796.
Applications of Degrees to Radians
Calculus Trig Graphs Physics Programming
Frequently Asked Questions
What is a degrees to radians calculator?▼
It converts an angle measured in degrees into radians.
What is the degrees to radians formula?▼
Radians = degrees × π/180.
How do I use this calculator?▼
Enter a degree value and click Calculate.
How many radians is 180 degrees?▼
180 degrees equals π radians.
Where are radians used?▼
Radians are used in calculus, trigonometric graphs, angular velocity, physics, and programming.
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