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Convert degrees to radians

Convert degrees (°) to radians (rad). 1° = 0.0174533 rad, and 1 rad = 57.2958°.

1° = 0.0174533 rad

Degrees to Radians formula

rad = ° × π / 180

Multiply the degrees by π and divide by 180.

Example: To convert 1° to radians: 1 × π / 180 = 0.0174533 rad.

Quick answers

What is 1° in radians?
1° = 0.0174533 rad
What is 45° in radians?
45° = 0.785398 rad
What is 90° in radians?
90° = 1.5708 rad
What is 180° in radians?
180° = 3.14159 rad

Degrees to Radians conversion table

Radians to Degrees table
degrees (°)radians (rad)
1°0.0174533 rad
5°0.0872665 rad
10°0.174533 rad
15°0.261799 rad
30°0.523599 rad
45°0.785398 rad
60°1.0472 rad
90°1.5708 rad
120°2.0944 rad
180°3.14159 rad
270°4.71239 rad
360°6.28319 rad

Frequently asked questions

How many degrees are in a radian?

There are 57.2958 degrees in a radian (1 rad = 57.2958°), so 1° = 0.0174533 rad.

How do I convert degrees to radians?

Multiply the degrees by π and divide by 180. To convert 1° to radians: 1 × π / 180 = 0.0174533 rad.

Is the Degrees to Radians conversion exact?

Yes, by definition, but π is irrational, so every result in decimal form is rounded.

What is 1° in radians?

1° = 0.0174533 rad.

How do I convert radians back to degrees?

Use the reverse relationship: 1 rad = 57.2958°. The Radians to Degrees page has a converter and a full table.

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