Convert degrees to radians

degrees to radians. Enter a value to convert, or use the degrees to radians chart further down the page.

1 ° = 0.0174533 rad

1 degree equals 0.0174533 radians. Going the other way, 1 radian = 57.2958 degrees.

How to convert degrees to radians

To convert degrees to radians, multiply the degree value by 0.01745329252. You can also divide by 57.29577951 to get the same answer.

rad = ° × 0.01745329252

Convert 45 ° to radians:

45 ° = 0.785398 rad

Use this degrees to radians table for quick reference without typing anything.

A degree is 1/360 of a full turn. The division into 360 comes from ancient Babylonian astronomy.

A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.

How many radians are in a degree?

1 degrees equals 0.0174533 radians. Going the other way, 1 radians is 57.2958 degrees.

How do you convert degrees to radians?

To convert degrees to radians, multiply the degree value by 0.01745329252. You can also divide by 57.29577951 to get the same answer.

What is 10 degrees in radians?

10 degrees equals 0.174533 radians. The conversion chart on this page lists the other values people look up most often.