Degrees to Radians Converter

Degree → Radian

1 degree = 0.0174533 rad, and 1 radian = 57.2958 deg.

0.0174533 rad

Reverse: Radians to Degrees Converter

Formula & conversion factor
rad = deg × 0.0174533
1 deg = 0.0174533 rad · 1 rad = 57.2958 deg

Trigonometry, programming languages and physics formulas expect angles in radians. A full circle of 360 degrees equals two pi radians; the chart lists the standard angles.

Degree to Radian conversion table

degrad
0 deg0 rad
1 deg0.0174533 rad
10 deg0.174533 rad
15 deg0.2618 rad
30 deg0.523599 rad
45 deg0.785399 rad
60 deg1.0472 rad
90 deg1.5708 rad
120 deg2.0944 rad
135 deg2.3562 rad
150 deg2.618 rad
180 deg3.14159 rad
210 deg3.66519 rad
225 deg3.92699 rad
240 deg4.18879 rad
270 deg4.71239 rad
300 deg5.23599 rad
315 deg5.49779 rad
330 deg5.75959 rad
360 deg6.28319 rad

Calculated with the same formula as the converter, rounded to six significant digits.

Frequently asked questions

How many radians are in 1 degree?

1 degree equals 0.0174533 rad. Formula: rad = deg × 0.0174533.

What is 10 degrees in radians?

10 deg = 0.174533 rad, because 10 × 0.0174533 = 0.174533.

How many degrees are in 1 radian?

1 radian equals 57.2958 deg. To convert back, divide by 0.0174533.

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