I'm not great at mathematics so I'm sure this is trivial to most. I have been searching around however and not been able to find how to figure out the incircle of a circle sector, or, in other words, the point inside a sector that is furthest away from the radii and the arc. The simpler solution the better

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I&#039;m not great at mathematics so I&#039;m sure this is trivial to most. I have been searching around however and not been able to find how to figure out the incircle of a circle sector, or, in other words, the point inside a sector that is furthest away from the radii and the arc. The simpler solution the better

Charlee Gentry · Accepted Answer

Assume the sector angle is   2  θ and the radius is 1, with center at (0,0) and one end of the arc at (1,0). Then the angle bisector of the sector, on which the center   O of the incircle must lie, is at angle   θ from the   x axis. Then   O  =  (  r  cos  ⁡  θ  ,  r  sin  ⁡  θ  ) where   r  sin  ⁡  θ  =  1  −  r  . Then   r may be found from this. Of course the whole diagram may have to be rescaled and rotated depending on how your sector is situated.

I'm not great at mathematics so I'm sure this is trivial to most. I have been searching around howev

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