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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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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]
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).
Degree to radian formula?
Degrees x 0.01745 = radians
How do you rewrite each degree into radians?
-- Take the number of degrees. -- Multiply it by (pi). -- Divide the result by 180. Now you have the same angle, expressed in radians.
