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Q: Finding length of Arc knowing only Chord and Angle ( Answered ,   0 Comments )
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 Subject: Finding length of Arc knowing only Chord and Angle Category: Science > Math Asked by: joshuac-ga List Price: \$40.00 Posted: 27 Sep 2006 22:19 PDT Expires: 27 Oct 2006 22:19 PDT Question ID: 769137
 This may be embarrassingly simple, but I haven't been finding what I need out there: I would like a formula I can use with simple tools (pocket calculator) to calculate the length of an Arc knowing the length of the Chord and the Central Angle. (I'm using these terms as defined on the page http://www.1728.com/circsect.htm) For example, if I know my Chord is 50 units and that my Central Angle is 90 degrees (25% of a circle), with this information I would like to be able to directly calculate the Arc of ~55.54 units. If I could also find the Radius of ~35.36 units this would be helpful as well to me, but not necessary to answering the question. Information/tools I have found useful so far in my search: "Circle Calculator", http://www.1728.com/circsect.htm "Chord (geometry) - Wikipedia", http://en.wikipedia.org/wiki/Chord_%28geometry%29 I want to be able to do this calculation in the field, the simpler the tools needed the better. Acceptable answers, in order of best to worst: -Can be solved with pen and paper using simple math -Can be solved with scientific calculator (TI-36x manual; http://www.radioshack.com/sm-ti-36x-solar-scientific-calculator--pi-2104642_tb-support.html) -Can be solved using a Spreadsheet (MS Excel, OpenOffice.org Calc) Sorry my question is so wordy, I'm trying to define something I don't understand as well as I want to. If I left anything out you need to know please ask.