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Answers
Answer:
How to convert radians to degrees
Pi radians are equal to 180 degrees:
π rad = 180°
One radian is equal 57.295779513 degrees:
1 rad = 180°/π = 57.295779513°
The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:
α(degrees) = α(radians) × 180° / π
or
degrees = radians × 180° / π
Example
Convert 2 radians angle to degrees:
α(degrees) = α(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°
Radians to degrees conversion table
Radians (rad) Radians (rad) Degrees (°)
0 rad 0 rad 0°
π/6 rad 0.5235987756 rad 30°
π/4 rad 0.7853981634 rad 45°
π/3 rad 1.0471975512 rad 60°
π/2 rad 1.5707963268 rad 90°
2π/3 rad 2.0943951024 rad 120°
3π/4 rad 2.3561944902 rad 135°
5π/6 rad 2.6179938780 rad 150°
π rad 3.1415926536 rad 180°
3π/2 rad 4.7123889804 rad 270°
2π rad 6.2831853072 rad 360°
How to convert degrees to radians
Pi radians are equal to 180 degrees:
π rad = 180°
One degree is equal 0.01745329252 radians:
1° = π/180° = 0.005555556π = 0.01745329252 rad
The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:
α(radians) = α(degrees) × π / 180°
or
radians = degrees × π / 180°
Example
Convert 30 degrees angle to radians:
α(radians) = α(degrees) × π / 180° = 30° × 3.14159 / 180° = 0.5236 rad
Degrees to radians conversion table
Degrees (°) Radians (rad) Radians (rad)
0° 0 rad 0 rad
30° π/6 rad 0.5235987756 rad
45° π/4 rad 0.7853981634 rad
60° π/3 rad 1.0471975512 rad
90° π/2 rad 1.5707963268 rad
120° 2π/3 rad 2.0943951024 rad
135° 3π/4 rad 2.3561944902 rad
150° 5π/6 rad 2.6179938780 rad
180° π rad 3.1415926536 rad
270° 3π/2 rad 4.7123889804 rad
360° 2π rad 6.2831853072 rad