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Degrees to Radians Converter.

°
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rad
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Reference Table

° rad grad ' " turn mrad
0.090.00157079630.15.43240.000251.570796
0.90.015707963315432400.002515.707963
90.157079632710540324000.025157.079633
901.57079610054003240000.251570.7963
90015.70796310005400032400002.515707.9633
9000157.079633100005400003240000025157079.6327
900001570.796310000054000003240000002501570796.3268

How to convert degrees to radians

Formula. radians = degrees × π ÷ 180.

Relationship. 180° = π radians.

Worked example. 90 ° = 1.570796 rad.

degrees to radians conversion table

° rad
1 0.0174532925
5 0.0872664626
10 0.1745329252
15 0.2617993878
22.5 0.3926990817
30 0.5235987756
36 0.6283185307
45 0.7853981634
60 1.047198
72 1.256637
90 1.570796
120 2.094395
135 2.356194
144 2.513274
150 2.617994
180 3.141593
210 3.665191
225 3.926991
240 4.18879
270 4.712389
300 5.235988
315 5.497787
330 5.759587
360 6.283185
720 12.566371

FAQ

Frequently Asked Questions

How do I convert degrees to radians?
Multiply by π/180 (about 0.0174533). For example, 90° × π/180 = π/2 ≈ 1.5708 radians.
How many radians is 180 degrees?
Exactly π radians, or about 3.14159. A full circle of 360° is 2π radians, and a right angle of 90° is π/2.
Why do I need radians for programming?
Because trigonometric functions expect them. Math.sin() in JavaScript, math.cos() in Python and their equivalents in nearly every language take radians, so a value in degrees must be multiplied by π/180 before you pass it in — a very common source of wrong results.
What is 1 degree in radians?
About 0.0174533 radians. Conversely, 1 radian is roughly 57.296° — a little under a sixth of a full circle.

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