Degrees to Radians

Convert degrees (°) to radians (rad) with formulas, examples, and conversion tables.

Degrees (°)

Radians (rad)

rad

1 ° = 0.0175 rad

Full precision:0.01745329 rad

Step-by-Step Solution

To convert 1 degrees to radians, we divide by 57.2958 because one radian equals exactly 57.2958 degrees.

1 radian = 57.2958 degrees

Since there are 57.2958 degrees in every radian, we divide our value by this factor:

1 ÷ 57.2958 = 0.0175 radians

So 1 degrees = 0.0175 radians.

✓Quick check: 0.0175 × 57.2958 = 1 degrees

How to Convert Degrees to Radians

To convert degrees to radians, divide the value by 57.2958.

Radians = Degrees ÷ 57.2958

1 radian = 57.2958 degrees

Tip: To convert radians back to degrees, multiply by 57.2958.

Example 1: 1 ° = 0.0175 rad
1 ÷ 57.2958 = 0.0175

Example 2: 5 ° = 0.0873 rad
5 ÷ 57.2958 = 0.0873

Example 3: 10 ° = 0.1745 rad
10 ÷ 57.2958 = 0.1745