Degrees to Radians Converter

One full circle is 360 degrees or 2π radians. Converting degrees to radians is essential for trigonometry, physics, and programming.

Formula

rad = degrees × π ÷ 180Multiply degrees by π and divide by 180.
Example: 90° × π ÷ 180 = π/2 ≈ 1.5708 rad

Common Values

DegreeRadian
0 °0 rad
30 °0.5235987756 rad
45 °0.7853981634 rad
60 °1.047197551 rad
90 °1.570796327 rad
120 °2.094395102 rad
135 °2.35619449 rad
150 °2.617993878 rad
180 °3.141592654 rad
270 °4.71238898 rad
360 °6.283185307 rad

Unit Definitions

Degree
Symbol: °

The Degree (°) is a unit of angle.

Radian
Symbol: rad

The Radian (rad) is a unit of angle.

Looking for the reverse? Radian to Degree converter →