

Subject:
How do I divide alarge pizza into 10 equal parts using traditional radial cut??
Category: Family and Home > Food and Cooking Asked by: johnfrommelbournega List Price: $4.00 
Posted:
24 Jan 2003 01:53 PST
Expires: 23 Feb 2003 01:53 PST Question ID: 147872 

Subject:
Re: How do I divide alarge pizza into 10 equal parts using traditional radial cut??
Answered By: knowledge_seekerga 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.iamai.org/readonly/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 closeenough 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....  

johnfrommelbournega
rated this answer:
Yes very well done Knowledgeseeker 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: ddelphiga 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: andurilga on 24 Jan 2003 13:53 PST 
Use a protractor, and cut 36 degree sized slices... >:}  Andurilga 
Subject:
Re: How do I divide alarge pizza into 10 equal parts using traditional radial c
From: alex_pga 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: johnfrommelbournega 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_pga 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). 
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