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 05-30-2004, 06:07 PM #1 linuxfond Member   Registered: Jan 2003 Location: Belgium Distribution: Mandrake 9.2 Posts: 475 Rep: MATH - Radius of an arc Hello, I gota a math puzzle: ````````d````````` A_______|________B ````````c ```````` AB is 60, and the perpendicular cd is 12. An arc AdB (which I can not draw here) is drawn from A to B, and it intersects cd at point d. Diameter of the arc is 40. What is the diameter of the arc if AB is 65? What is the diameter of the arc if cd is 15? Thanks Last edited by linuxfond; 05-30-2004 at 06:16 PM.
 05-30-2004, 07:52 PM #2 andrewlkho Member   Registered: Jul 2003 Location: London Posts: 548 Rep: Okay, I'm working on it. It must be possible, as there is only one arc that can fit in that .... (I can tell this problem will haunt me until I solve it). Will post back the answer, and will be extremely pissed off if I can't get it - it's simple geometry.
 05-31-2004, 05:45 PM #3 andrewlkho Member   Registered: Jul 2003 Location: London Posts: 548 Rep: Well I hate to tell ya, but for the 60 / 12 one, I don't get an arc of diameter 40.... Are you sure that's right?
 05-31-2004, 05:46 PM #4 linuxfond Member   Registered: Jan 2003 Location: Belgium Distribution: Mandrake 9.2 Posts: 475 Original Poster Rep: Sorry, my numbers may be somewhat imprecise. In fact, these numbers are almost arbitrary: they were returned by another somewhat sloppy scripting in my program, but that I will correct later. There is just one arc that can fit in; we know neither the ratio between cd and the diameter nor the ratio between cd and AB. On my example it may seem that cd is 1/5 of AB, but it is not. cd can be 1mm, while AB can be 1000km, yet, there is just one arc that will fit in. I can display the problem otherwise: A__________B C|...............|D What is the value of AB and CD if the arc inscribed inside has a diameter x, where x is a known decimal? Last edited by linuxfond; 05-31-2004 at 05:55 PM.
 05-31-2004, 05:52 PM #5 acid_kewpie Moderator   Registered: Jun 2001 Location: UK Distribution: Gentoo, RHEL, Fedora, Centos Posts: 43,417 Rep: please do not ask homework questions on LQ.org... we're not the ones supposed to be learning stuff. and besides you'll need to be able to invent soem convincing working-out in pencil in the margin before you hand it in.... you can always tell fake workings.
 05-31-2004, 05:58 PM #6 linuxfond Member   Registered: Jan 2003 Location: Belgium Distribution: Mandrake 9.2 Posts: 475 Original Poster Rep: Dear Moderator, Indeed, I had doubts about asking this question here. I did it because I need a formula to be embedded into a PHP script, which is supposed to produce correct graphics. I run out of pencils.
 05-31-2004, 07:43 PM #7 andrewlkho Member   Registered: Jul 2003 Location: London Posts: 548 Rep: Well if ya still want the answer, then e-mail me. I'll attach an image showing how to do it....
 06-01-2004, 10:40 AM #8 eric.r.turner Member   Registered: Aug 2003 Location: Planet Earth Distribution: Linux Mint Debian Edition (LMDE) Posts: 215 Rep: Your email is disabled in Linuxquestions.org. How do we contact you?
 06-01-2004, 04:01 PM #9 andrewlkho Member   Registered: Jul 2003 Location: London Posts: 548 Rep: Whoops, sorry, forgot that. It's enabled now.

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