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.
pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]
5 radians = 286 degrees.
285.3° To convert from radians to degrees, multiply by 180° and divide by pi (about 3.14159).
Degrees x 0.01745 = radians
To convert degrees to radians, you need to multiply the degree measure by 2pi/360Multiply 70 by 2pi/360 and you get approximately 1.22173047.
pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]
Yes, radians can work for fine degree measurements.
pi radians is 180 degrees.
It is: 35/18*pi radians because 1 degree = pi/180 radians
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.
You can multiply the number of radians by 180/pi.
5 radians = 286 degrees.
285.3° To convert from radians to degrees, multiply by 180° and divide by pi (about 3.14159).
To go from radians to degrees, multiply by 180/pi To go from degrees to radians, multiply by pi/180
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.
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Pi radians is 180 degrees. So if you have theta in radians, multiply by 180/Pi