Radians to Degrees
Convert radians to degrees and back. Mathematics, physics and every programming language do trigonometry in radians, while people describe angles in degrees, so you cross between the two constantly.
Common values
Formula
° = rad × 57.29577951308232
A radian is an arc length divided by a radius, so it carries no unit. That is why SIN() in a spreadsheet and math.sin() in Python read 30 as 30 radians, not 30 degrees — the most common mistake in any sheet that uses trigonometry.
Frequently asked questions
Q. How many ° is 1 rad?
1 rad is 57.296 °, and 10 rad is 572.958 °. Type any value in the box above to convert instantly.
Q. And how many rad is 1 °?
1 ° is 0.017 rad. This converter works both ways, so typing in the right box updates the left one.
Q. Where is this unit used?
A radian is an arc length divided by a radius, so it carries no unit. That is why SIN() in a spreadsheet and math.sin() in Python read 30 as 30 radians, not 30 degrees — the most common mistake in any sheet that uses trigonometry.
Other converters
Traditional units (geun, doe, majigi and so on) vary by region and product.