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 Subject: How do I divide alarge pizza into 10 equal parts using traditional radial cut?? Category: Family and Home > Food and Cooking Asked by: johnfrommelbourne-ga List Price: \$4.00 Posted: 24 Jan 2003 01:53 PST Expires: 23 Feb 2003 01:53 PST Question ID: 147872
 ```Just ordered large pizza and asked that it be cut into 10 equal parts as in traditional cartwhheel configuration, but lady at counter said she cant work out how to do it. Is there a simple way that has some geometric methodology to it, or is it a matter of just practice makes perfect as in just memorising where the cuts should roughly be. Johnfrommelbourne``` Clarification of Question by johnfrommelbourne-ga on 24 Jan 2003 05:29 PST ```Not necessarily a technically true geometric means perhaps but just a simple way of getting the result required would do fine. I mean there just may be a simple little trick to it that uses some simple reference poiint that makles it easy. for instance to cut pizza into twelve just requires a clock face sequence of lines I now see just in this last half hour after toying with issue.```
 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial cut?? Answered By: knowledge_seeker-ga on 24 Jan 2003 05:55 PST Rated:
 ```Well John, You had me fooled. You’ve taken a complex Euclidian geometric puzzle and disguised it as a simple Pizza question. Nice work! The answer is simple – Just take this drawing and a compass or a protractor to your pizza lady next time, and she’ll be the first in her neighborhood to be able to be able to divide a circle into 10 equal parts! http://www.i-am-a-i.org/read-only/illustrations/Mandala__05(easy).jpg The template is based on Euclid’s pentagram geometric construction. It illustrates the golden section which is unique in that it can divide a circle into ten equal parts. Ok, so I jest. The fact is, the circle does not divide easily or naturally into ten equal parts but there are a couple of ways an adroit pizza lady (or you) could eyeball it and get a close-enough division. FIRST WAY – Roughly mark out a pentagon that spans the pizza Cut from the center of the pizza to each corner of the pentagon Cut each of those 5 slices in half. EUCLIDS CONSTRUCTION OF THE EXTREME AND MEAN RATIO http://splorg.org/~b/works/golden/ SECOND WAY – Divide the pizza into quarters. Divide each quarter into 5 fairly equal slices. Make the slice continuous from one edge of the pizza to the other, so you are effectively cutting 2 opposing quarters with the same draw of the knife. Give everyone 2 slices - to equalize the portions, give each person two that oppose each other on the circle, not adjacent slices. Or, you could just invite two more friends to the pizza party. :-) Hope this has helped – K~ Search terms: “circle into ten” -recipe -recipes “circle into 10” “pizza into ten” *note: it surprised me how many recipes instructed – “slice the pie/cake/ into ten wedges” as if that’s an easy thing to do. Wonder how many of those cooks keep their geometry books handy....``` Clarification of Answer by knowledge_seeker-ga on 24 Jan 2003 05:58 PST ```Hey John, For this link -- EUCLIDS CONSTRUCTION OF THE EXTREME AND MEAN RATIO http://splorg.org/~b/works/golden/ Do 3 PgDn's to get to the drawing I meant for you to see. :-) -K~```
 johnfrommelbourne-ga rated this answer: ```Yes very well done Knowledge-seeker and made entertaining reading as well. And yes you are right I really am a master mathemetician specialising in geometric puzzles just trying to test the skills of GA researchers, incognito```

 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial cut?? From: ddelphi-ga on 24 Jan 2003 08:03 PST
 ```The following pizza incident is attributed to Yogi Berra, but it may be apocryphal: When asked if he wanted his pizza cut into four slices or eight, Yogi replied: “Better make it four. I don’t think I can eat eight.” Hold the anchovies – ddelphi.```
 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial cut?? From: anduril-ga on 24 Jan 2003 13:53 PST
 ```Use a protractor, and cut 36 degree sized slices... >:-} -- Anduril-ga```
 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial c From: alex_p-ga on 20 Mar 2003 13:03 PST
 ```Here's an easy way to cut pizza, cake, pie, etc. into 10 (roughly) even slices. It sounds more complictated than it is - try it using an empty plate to see what I mean. 1. Starting from the top of the pizza, cut down to the bottom to cut it in half. 2. Starting at about 10:00 (picturing a clock face), slice completely across to the opposite side, leaving two large "quarters" and two small "quarters". 3. Cut once through the smaller "quarters", leaving four pieces. 4. Cut twice through the larger "quarters", giving the other six pieces. Hope this helps. alex_p```
 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial cut?? From: johnfrommelbourne-ga on 20 Mar 2003 22:50 PST
 ```Ok Alex, will try that as I have just arrived at work and just opened up emails. You must have been scanninmg old posts I assume and justa come across this one yes? John From melbourne```
 Subject: Re: How do I divide alarge pizza into 10 equal parts using traditional radial c From: alex_p-ga on 21 Mar 2003 01:05 PST
 ```Yup. I'm just back from holidays and wanted to see if there was anything interesting in GA (like your question John).```