Length of an arc between two angles

From Rosetta Code
Revision as of 12:12, 15 March 2020 by Wherrera (talk | contribs) (julia example)

Task

Calculate the length of the arc (green) between two angles;


https://imgur.com/a/aYgDLxr

It is important in video game programming

implement a method that takes parameters like:

  • xpos of the circle
  • ypos of the circle
  • radius
  • ang1
  • ang2

return green arc_lenght

example method:

arc_lenght (xpos, ypos, radius, ang1, ang2) { return arc_lenght; }

Julia

I am unsure of the precise meaning of some of the task text, but using the linked Imgur graphic as a guide, we can find the distance along the circumference of the circle which is NOT swept out between the two angles. <lang julia>

arclength(r, angle1, angle2) = (360 - angle2 + angle1) * π/180 * r

@show arclength(10, 10, 120) # --> arclength(10, 10, 120) = 43.63323129985823 </lang>