In the world of geometry, both degrees, as well as radian, will be representing the measurement of the angles and one complete anticlockwise revolution can be represented by two into the value of pi in terms of radians and 360° in terms of degrees we will see how we can convert radians to degrees. Hence, both of them can be very easily equated as:
- Two into the value of pi is equal to 360°
- Or the value of pi is equal to 180°
Hence, from the above-mentioned relationship of radians to degrees, one can very easily state that 180° will be equal to the value of pi in terms of a radian.
In the world of geometry, the measurement of an angle is normally considered into degrees but radian is another very important term that is considered in terms of measuring the angles in the world of trigonometry functions or periodic functions. The radians will always help in representing the value of angles in terms of the value of pi. The value of pi is 22/7 or 3.14. The degree also has different kind of supports for example minutes and seconds and the conversion is considered to be one of the most important things to be mastered by the kids in this particular area:
- Radians is equal to degrees into pi upon 180
- Radians into 180 divided by the value of pi is equal to degrees
- 360° is equal to the two into the value of pi radians
- 180° is equal to the value of pi into radians
How one can very easily convert the degrees to radians?
The value of 180° will always be equal to the value of pi in terms of radians and to convert any given angle from the measure of degrees to the radians the value has to be multiplied by the value of pi/180.
The angle in radians is equal to the angle in degree into the value of pi/180
Following are the very basic steps of conversion of angle in terms of degree measure to the radians:
- The kids need to write the numerical value of the measure of angle which is given in degree
- After this, they need to multiply the numerical value with the value of pi/180
- After this, they need to simplify the expressions by cancelling the common terms of the numerical
- After this, the result of 10 will be the simplification and will be the measure of the angle in terms of radius
The process of conversion of radius to degrees has been explained as follows:
- As already discussed degrees is equal to radians into 180/value of pi
- As the kids already know that one complete revolution counterclockwise will be equal to 2 into the value of pi or 360° which is the main is that both of them can be concluded as mentioned above in the very first formula.
It is also very much important for the kids to remember the degrees to radians chart which they can develop with the help of the above-mentioned formulas very easily by substituting the value of angles without any kind of problem. Apart from this kids also need to be very much clear about the basic conversion factors so that they can deal with both of these measurements very easily without any kind of problem. Being able to convert the things from one measurement factor to the other one is a very important ability to be possessed by every kid so that there is no wastage of time in the examination and they can solve the questions very effectively and in a very timely manner. Apart from this kids also need to have a good command over the conversion of degrees to radians which is another very important reason and is only possible if they have a good command over the subject by learning the formulas. Apart from this kids also need to register themselves on the platforms like Cuemath where they will be taught by experts and everything will be crystal clear in their minds without any kind of hassle.
