Calculating coordinates along an arc

paulpengelly

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Joined
Feb 24, 2014
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I need to find an x,y coordinate half way along an arc.

The info for the arc is:
x,y1 = 241.168, 922.252
x,y2 = 141.090, 935.743
arc length = 108.422
radius of circle arc belongs to = 83.915
length of chord = 101.036

I need to find the x,y coordinate of a point exactly halfway along the arc. So, 54.211m between xy1 and xy2.

I will need to repeat this many times for different coordinates, so any help developing a formula would be hugely appreciated!
 
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