Degrees to radians and radians to degrees

Convert degrees to radians or radians to degrees. Choose the starting unit, enter an angle and check the result with the conversion formula.

Result

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How to use the tool

Fill in these fields: Angle, Input unit.
Select “Convert” to obtain the result.
Choose the input unit.
One full turn is 360° = 2π radians; 180° = π radians.
Negative angles are accepted and not automatically reduced to one turn.

Method and principles

Formula

rad = \frac{\deg \times π}{180}

Worked example and units

An angle of 180° equals π radians; 90° equals π/2 radians and 360° equals 2π. Choose the unit of your input before converting. Check the scientific calculator mode when using the result in sine, cosine or tangent functions.

Practical example

Input

Angle: 180
Input unit: Degrees

Result

3.14159265359 rad

Calculation steps

Substitute the example values into the formula.
$rad = \frac{180 \times π}{180}$

Limits and checks

Limits and checks
Parameter	Value
Angle	≥ -1000000000000; ≤ 1000000000000

Degrees to radians and radians to degrees

Set your data

Result

How to use the tool

Method and principles

Formula

Worked example and units

Practical example

Calculation steps

Limits and checks

Favorites

Degrees to radians and radians to degrees

Set your data

Result

How to use the tool

Method and principles

Formula

Worked example and units

Practical example

Calculation steps

Limits and checks

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