Conversion formula of arc system and angle system
In the radian system, the radian number of a complete circle is 2π, which is 360 degrees. Therefore, we can get the following conversion formula:
1 degree =π/ 180 radians
1 radian = 180/π degrees
How to convert angles into radians
If we want to convert angles into radians, we can follow the following steps:
1. Divide the angle value by 180, and the result is radian value.
2. Multiply the radian value by π to get the final radian value.
For example, if we want to convert 30 degrees into radians, we can follow the following steps:
1.30 degrees÷180 = 0.1667
2.0. 1667×π=0.523 radian
Therefore, 30 degrees is equal to 0.523 radians.
How to convert radians into angles
If we want to convert a radian into an angle, we can follow the following steps:
1. radian value multiplied by 180, the result is the angle value.
2. Divide the obtained angle value by π to get the final angle value.
For example, if we want to convert 1 radian into an angle, we can follow the following steps:
1. 1 radian×180 = 57.296 degrees.
2.57.296÷π= 18.295 degrees.
So 1 radian is equal to 57.296 degrees.