My Math Forum Circle segment?

 Algebra Pre-Algebra and Basic Algebra Math Forum

 November 10th, 2008, 11:28 PM #1 Newbie   Joined: Nov 2008 Posts: 1 Thanks: 0 Circle segment? I need to do some programming at work. Can this problem be solved? Thanks in advance. Chris
 November 11th, 2008, 08:12 AM #2 Senior Member   Joined: Jul 2008 Posts: 895 Thanks: 0 Re: Circle segment? AD=3.99 so CD = 3.99/2 Center "O": OE = 4.146, CE = .51145, so OC = 4.146 - .51145 OD = 4.146 You might want to first check for consistency, using Pythagoras on triangle OCD.
 November 11th, 2008, 10:00 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,804 Thanks: 2150 Dave mistyped the value of CE; the values are consistent. I'll use "O" for the central point and assume certain angles are right angles. By Pythagoras's theorem, (x + OC)^2 + BC^2 = r^2 and OC^2 + CD^2 = r^2, so x = sqrt(r^2 - BC^2) - sqrt(r^2 - CD^2).
 November 11th, 2008, 11:33 AM #4 Senior Member   Joined: Jul 2008 Posts: 895 Thanks: 0 Re: Circle segment? Oops.
 November 17th, 2008, 09:28 AM #5 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,949 Thanks: 1141 Math Focus: Elementary mathematics and beyond Re: Circle segment? x = r(cos(sin^-1(BC/r)))-r+CE

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