March 18th, 2017, 06:32 AM  #1 
Newbie Joined: Mar 2017 From: Connecticut Posts: 1 Thanks: 0  Extending arc
Hi I have attached a jpeg to illustrate what I'm looking for. I need a equation to calculate the endpoint of an arc if it is extended past a given point by a given distance. Side(a) Side(b) and Side(c) are known In the example the given distance will be .06 along the arc The answer is in Red on the attached jpg ( X.5178 Y.1322 ) based on the origin on the example. The answer was evaluated on a cad system but I need to arrive at the answer using an equation that can be repeated within the application. Thanks for any help Mike 
March 18th, 2017, 08:12 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 506 Thanks: 129 
Can I clarify a few points about this question? As I understand what you are asking the following construction applies. 1) Why is your coordinate system inverted compared to normal X positive increasing leftwards, Y positive increasing downwards? 2) With this coordinate convention from the origin, daw a radius R = 1.080 along the positive x axis to the centre of the circle. 3) Draw the line from the centre of the circle through the point x = .4644; y= .1049 4) Draw the line parallel to this line up and to the left of it, to intersect the circle at the desired point X, Y 5) Calculate the coodinates of X, Y. 

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