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 Algebra Pre-Algebra and Basic Algebra Math Forum

 February 21st, 2009, 02:00 PM #1 Newbie   Joined: Feb 2009 Posts: 2 Thanks: 0 Solve angle and radius of oval I have a formula: X = (radius*n+f)*sin(a) Y = radius*cos(a) Which, when plotted, gives me a very flat oval when the radius is small moving out to a circle and then to a tall oval. (eg. n = 0.55, f=195, becomes a circle when the radius is approx 433.333) Now what I need is to be able to reverse the formula. I have the values for X, Y, n, f. I need to calculate rad and a. If I re-arrange the formula to : X = ((Y/cos(a))*n+f)*sin(a) or X = Y*n*sin(a)/cos(a) + f*sin(a) All values are known except a. But how do I re-write this so I have a formula a = ......... February 21st, 2009, 04:55 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 You can use sin�a + cos�a = 1 to eliminate a, and then solve the resulting quartic equation for the radius. Tags angle, oval, radius, solve Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post coderplus Algebra 9 August 4th, 2012 11:31 AM keijojo Algebra 8 May 15th, 2012 12:08 PM icm63 Algebra 12 January 17th, 2012 12:48 PM i_am_cuul Algebra 1 April 23rd, 2010 08:50 PM SquirrellyMcGee Algebra 0 December 31st, 2009 12:12 PM

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