Thanks George, I should have proof read before publishing, instead of beta testing on the readers !! Larry Rankin from Oklahoma on May 19, 2018:Įugene Brennan (author) from Ireland on May 18, 2018: Obviously, another level of complexity, even if not rotated. How about a similar article for ellipses? Just a thought. Parabolas will probably come first though. How can I calculate the angle at the center of an arc knowing radius and center, start, and end points? I know how to do that if I have the length of the arc, but in my case I don't have it.Įugene Brennan (author) from Ireland on March 19, 2019: Then use the equation for length of a chord (2Rsin(θ/2) to find θ. If you mean you know the coordinates of the start and end points of the chord, you can work out the length of the chord using Pythagoras's theorem. How do i calculate the length of a segment of a circleĮugene Brennan (author) from Ireland on April 05, 2019: If you mean the chord length, it's 2Rsin(θ/2). I need to work out distance from the straight wall to measure, at regular intervals, to create the perfect curve starting and ending on the chord (2nd) forming the distance from the straight wall.(1st chord)Įugene Brennan (author) from Ireland on April 07, 2020: Hi I have a simple but frustrating problem- I want to build a regular curved wall a set distance from a straight wall - the centre of the circle /arc of the wall falls within the building. Suggestion, you could put the values into a spreadsheet to do the calculations. I've drawn it up as an example at the bottom of the article, hope it helps. Hi Austen, I spent hours trying to figure this out using angles, but it turned out that since the chord length is known between two ends of the curved wall (is this correct?), it can easily be worked out using Pythagoras's Theorem. Thanks for relighting the knowledge thirst.Įugene Brennan (author) from Ireland on April 30, 2020: I’ racked my brains back 45 plus used the existing formulae on your website to crack it- but as always when someone who “knows” tells you “how” - it becomes so clear you wonder how you couldnt see it before. Many thanks for solving the curved wall issue. In reality that's probably not necessary because you may already know the distance from the centre of the arc to the inside of the wall. I worked out D in the diagram above knowing R and L/2. Content is for informational or entertainment purposes only and does not substitute for personal counsel or professional advice in business, financial, legal, or technical matters.Įugene Brennan (author) from Ireland on May 31, 2020: This article is accurate and true to the best of the author’s knowledge.
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