° to rad Converter

How to convert

How to convert: ° → rad

rad = ° × 0.0174532925199

° and rad measure the same quantity: angle. Converting between them makes it easier to compare a measurement or use it in another unit system.

Worked examples

10 ° → 0.174533 rad

50 ° → 0.872665 rad

100 ° → 1.74533 rad

Conversion table

°	rad
1 °	0.0174533 rad
5 °	0.0872665 rad
10 °	0.174533 rad
20 °	0.349066 rad
50 °	0.872665 rad
100 °	1.74533 rad

Mendeleev

Why this conversion is useful

This conversion belongs to a set of tools focused on units that are genuinely used in science, engineering and everyday life. Beyond the numerical answer, the aim is to understand what the quantity represents, where each unit is common and how to avoid order-of-magnitude mistakes.

Understand the conversion

Method

The two units describe the same physical quantity. Use the conversion relation shown above, keep the units visible during the calculation, then check that the size of the result is plausible.

rad = ° × 0.0174532925199

Worked example

Starting with 1 °, apply rad = ° × 0.0174532925199. The result is 0.017453293 rad. Writing the unit at each step helps prevent a correct number from being paired with the wrong unit.

Quick check

Before accepting a result, compare the relative size of the units. Converting to a larger unit usually gives a smaller numerical value; converting to a smaller unit usually gives a larger numerical value.

Precision

The calculator keeps more digits than are usually needed for everyday work. Round only at the end, and keep enough significant digits for the precision of the original measurement.