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There is no logic for degrees. The degrees of a circle were arbitrarily chosen to be 360, probably because of the magic number 12 (used also in seconds, hours, months, dozen, etc.)

The logic of radians is that the circumference of a circle is 2 pi r, therefor the radians of a circle is 2 pi, making calculations easy.

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Q: What is the logic behind the degree and radians?
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Related questions

What is 2115 degrees in radians?

pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]


Can radians measures work for very fine degree measurements?

Yes, radians can work for fine degree measurements.


What degree is pi when measured in radians?

pi radians is 180 degrees.


What is 350 degrees in radians?

It is: 35/18*pi radians because 1 degree = pi/180 radians


How do you find radians using the conversion factor?

One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.


How do you convert radians into degree in c language?

You can multiply the number of radians by 180/pi.


Convert 5 radians to degrees accurate to the nearest degree?

5 radians = 286 degrees.


What is the degree of 4.98 radians?

285.3° To convert from radians to degrees, multiply by 180° and divide by pi (about 3.14159).


Formula in changing radians to degree?

To go from radians to degrees, multiply by 180/pi To go from degrees to radians, multiply by pi/180


Why multiply degree to pi by 180 to convert it to radian?

A whole circle is 360 degrees or 2*pi radians. 360 degrees = 2*pi radians so that 1 degree = pi/180 radians This gives the conversion factor of pi/180 to convert degrees to radians.


What is logic behind logic?

42


Can we take theta in terms of degree?

Pi radians is 180 degrees. So if you have theta in radians, multiply by 180/Pi