Re: Area of two intersecting circles
- To: mathgroup at smc.vnet.net
- Subject: [mg123418] Re: Area of two intersecting circles
- From: "Scott Colwell" <srcolwell at gmail.com>
- Date: Tue, 6 Dec 2011 03:14:10 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <7BB0E96E72E84E41B24A1FF8ED13F5E61568B8C838@IE2RD2XVS581.red002.local>
- Reply-to: srcolwell at gmail.com
Thank you Alexei. Scott R. Colwell, PhD -----Original Message----- From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu> Date: Mon, 5 Dec 2011 01:02:56 To: mathgroup at smc.vnet.net<mathgroup at smc.vnet.net> Cc: srcolwell at gmail.com<srcolwell at gmail.com> Subject: [mg123418] Re: Area of two intersecting circles I have 2 disks named A and B. They both have the same radius. Is there a function in mathematica that will find the area of the intersection between the two circles? There is such a function. First let us look at your domain. Evaluate this: Manipulate[ RegionPlot[ x^2 + y^2 <= 1 && (x - x0)^2 + y^2 <= r, {x, 0, 3}, {y, -1, 1}, PerformanceGoal -> "Quality"], {x0, 0, 3}, {r, 1, 3}] Let us define the integral: int[x0_, r_] := Integrate[ Boole[x^2 + y^2 <= 1 && (x - x0)^2 + y^2 <= r], {x, 0, x0 + r}, {y, -r, r}]; Now let us try: int[1.9,3] 1.06324 int[2,1] 0 Have fun. Alexei BOULBITCH, Dr., habil. IEE S.A. ZAE Weiergewan, 11, rue Edmond Reuter, L-5326 Contern, LUXEMBOURG Office phone : +352-2454-2566 Office fax: +352-2454-3566 mobile phone: +49 151 52 40 66 44 e-mail: alexei.boulbitch at iee.lu<mailto:alexei.boulbitch at iee.lu>