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The angle is typically measured in degrees from the mark of number 12 clockwise. The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute.
import math def circular_mean (hours): # Convert hours to radians # To convert from hours to degrees, we need to # multiply hour by 360/24 = 15. radians = [math. radians (hour * 15) for hour in hours] # Calculate the sum of sin and cos values sin_sum = sum ([math. sin (rad) for rad in radians]) cos_sum = sum ([math. cos (rad) for rad in radians ...
Download QR code; In other projects Appearance. move to sidebar hide File; File history ... 1=A chart for the conversion between degrees and radians, ...
provided the angle is measured in radians. Angles measured in degrees must first be converted to radians by multiplying them by / . These approximations have a wide range of uses in branches of physics and engineering, including mechanics, electromagnetism, optics, cartography, astronomy, and computer science.
The complex number z can be represented in rectangular form as = + where i is the imaginary unit, or can alternatively be written in polar form as = ( + ) and from there, by Euler's formula, [14] as = = . where e is Euler's number, and φ, expressed in radians, is the principal value of the complex number function arg applied to x + iy ...
The number can also be interpreted as a fraction of a full turn between 0 (inclusive) and 1 (exclusive) represented in binary fixed-point format with a scaling factor of 1/2 n. Multiplying that fraction by 360° or 2π gives the angle in degrees in the range 0 to 360, or in radians, in the range 0 to 2π, respectively.