What is 45 ° in radians?

45 degrees equals 0.7854 radians.

45 Degrees to Radians

Convert 45 degrees (°) to radians (rad) with formulas, examples, and conversion tables.

Degrees (°)

Radians (rad)

rad

45 ° = 0.7854 rad

Full precision:0.7854 rad

Step-by-Step Solution

To convert 45 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:

45 ÷ 57.2958 = 0.7854 radians

So 45 degrees = 0.7854 radians.

✓Quick check: 0.7854 × 57.2958 = 45 degrees