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How to find the exact center of a circle? by RotrexFiero
Started on: 05-25-2012 03:16 PM
Replies: 51
Last post by: maryjane on 05-27-2012 11:43 PM
RotrexFiero
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Report this Post05-25-2012 03:16 PM Click Here to See the Profile for RotrexFieroClick Here to visit RotrexFiero's HomePageSend a Private Message to RotrexFieroDirect Link to This Post
I'm working on a project, making a large emblem that is circular. It is about the size of a large pizza and I need to find the exact center point. With just simple tools what is the best way to do this?

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Report this Post05-25-2012 03:22 PM Click Here to See the Profile for MidEngineManiacSend a Private Message to MidEngineManiacDirect Link to This Post
Practice and a 7.62.

If you know the diameter, make a stick with a couple holes in it the EXACT radius of the circle. Pin one end to a point in the circumferance, put a pencil in the other hole and make a mark....dot that 3-4-5 places around the circumferance, and where the lines intersect is the center.
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Report this Post05-25-2012 03:27 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
get a straightedge
draw a line which cuts across the circle
draw another line which cuts across the circle
get a compass
bisect each of the 2 lines within the circle
draw a line perpendicular to each of the 2 lines
where these last 2 lines intersect is the center

[This message has been edited by lurker (edited 05-25-2012).]

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fierofetish
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Report this Post05-25-2012 03:32 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
Cut out a piece of paper the same size,fold in half, and half again. Open it flat, Where the folds cross is the centre point.
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Report this Post05-25-2012 03:43 PM Click Here to See the Profile for blackramsSend a Private Message to blackramsDirect Link to This Post
Start with a string, pin, pen and paper, tie the string to the pin and the pen with the distance between the two half the width of the circle you want to end up with. Stick the pin in the center of the paper, stretch out the string and draw your circle. You've already marked the center.

KInd of depends on where you're at in the project, if you've already got the circle, then use one of the other methods.

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Report this Post05-25-2012 03:54 PM Click Here to See the Profile for heybjornSend a Private Message to heybjornDirect Link to This Post
Send the whole thing to Marvin McMinnis with your requirements. It will be perfect when you get it back. Don't be surprised when you get a request for a large check.
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Report this Post05-25-2012 04:02 PM Click Here to See the Profile for Doug85GTSend a Private Message to Doug85GTDirect Link to This Post
If you want to be exact, then use a compass.

1. Measure the diameter of the circle and divide by 2 to get the radius.
2. Set the compass to the radius.
3. Set point of the compass on the edge of the circle and put about a 2" curve mark where you think the center is with the compass' pencil side.
4. Repeat #3 two more times at three different points on the circle at what you approximate to be thirds of the circle.

If #4 intersects at a single point, then that is the exact center. If they do not, then your measurement of the diameter was off. Remeasure the diameter and repeat until all three lines connect at a single point.
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Report this Post05-25-2012 04:04 PM Click Here to See the Profile for RaydarSend a Private Message to RaydarDirect Link to This Post
As they say...
Measure it with a micrometer. Mark it with chalk. Cut it with an axe.
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Report this Post05-25-2012 04:10 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by fierofetish:

Cut out a piece of paper the same size,fold in half, and half again. Open it flat, Where the folds cross is the centre point.


Problem is, if you cut the paper as a circle, folding it in half is about as difficult as finding the center (because you would need to devide the circle in two perfect halves). And the only way to get a rectangle with sides the same size as the diameter of the circle, is by by knowing the diameter and that again is what the problem is with a circle.

But here's a 100% accurate method I just thought up myself.

Draw a straight line anywhere on the circle from one side to the other side. It doesn't matter where. For example:



Now measure the line you have just drawn and mark the exact center of that line:



Now using a straight angle, draw a line from that point towards the other side of the circle (I drew these without measuring anything so the lines are perhaps not very accurate, but you get the point):



Repeat, but in another position, again, doesn't matter where:



Where the two lines cross will be the exact center of the circle.

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rogergarrison
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Report this Post05-25-2012 04:17 PM Click Here to See the Profile for rogergarrisonSend a Private Message to rogergarrisonDirect Link to This Post
I found the fastest and simplest is the method mentioned already where you just make a straight line at any 2 places on the outside of the circle. Then I use a right-triangle to make a line at 90* to those two lines. Where they cross is the middle.

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Report this Post05-25-2012 04:18 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
I just did a quick "googly" and apparently, this is indeed one of a few quick and easy ways to find the center of a circle.
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Report this Post05-25-2012 04:18 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
 
quote
Originally posted by Cliff Pennock:
But here's a 100% accurate method I just thought up myself.

this sounds strangely familiar

pizza sized? just how exact does it need to be?

[This message has been edited by lurker (edited 05-25-2012).]

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Report this Post05-25-2012 04:28 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by lurker:

this sounds strangely familiar


Yeah, I thought I had come up with something original but that was of course pretty stupid to think. As if millions of mathematicians before me wouldn't have found that already. Sometimes I worry myself.
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Report this Post05-25-2012 04:31 PM Click Here to See the Profile for Doug85GTSend a Private Message to Doug85GTDirect Link to This Post
I think I just found the easiest way to find the center. This can be done with just a carpenter's square and a pencil:

http://www.mathopenref.com/constcirclecenter2.html
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Report this Post05-25-2012 04:34 PM Click Here to See the Profile for TaijiguySend a Private Message to TaijiguyDirect Link to This Post
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Report this Post05-25-2012 04:36 PM Click Here to See the Profile for heybjornSend a Private Message to heybjornDirect Link to This Post
 
quote
Originally posted by Doug85GT:

If you want to be exact, then use a compass.



I know which way is north, Doug.

 
quote
Originally posted by Raydar:

As they say...
Measure it with a micrometer. Mark it with chalk. Cut it with an axe.


Who says this? GM engineers? No wonder we are in trouble.

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Report this Post05-25-2012 04:50 PM Click Here to See the Profile for TheDigitalAlchemistClick Here to visit TheDigitalAlchemist's HomePageSend a Private Message to TheDigitalAlchemistDirect Link to This Post
 
quote
Originally posted by heybjorn:



EVEN I avoided THAT one...You've sunk to a new low...

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Report this Post05-25-2012 05:03 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
 
quote
Originally posted by Cliff Pennock:
Sometimes I worry myself.

well, you did use pictures. i was trying to imagine how to explain some of the steps in words, and it wasn't going to be pretty.
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Report this Post05-25-2012 05:11 PM Click Here to See the Profile for ryan.hessSend a Private Message to ryan.hessDirect Link to This Post
 
quote
Originally posted by Doug85GT:

I think I just found the easiest way to find the center. This can be done with just a carpenter's square and a pencil:

http://www.mathopenref.com/constcirclecenter2.html


That would have been my suggestion...... Lacking a square, I've used pieces of paper.......
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Report this Post05-25-2012 05:14 PM Click Here to See the Profile for Jake_DragonSend a Private Message to Jake_DragonDirect Link to This Post
 
quote
Originally posted by lurker:

get a straightedge
draw a line which cuts across the circle
draw another line which cuts across the circle
get a compass
bisect each of the 2 lines within the circle
draw a line perpendicular to each of the 2 lines
where these last 2 lines intersect is the center



x2
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Report this Post05-25-2012 05:36 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by lurker:

well, you did use pictures. i was trying to imagine how to explain some of the steps in words, and it wasn't going to be pretty.


Oh wait - I just now realized you posted the same thing.

Like I said - I sometimes worry myself.
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Report this Post05-25-2012 05:51 PM Click Here to See the Profile for E.FurgalSend a Private Message to E.FurgalDirect Link to This Post
 
quote
Originally posted by fierofetish:

Cut out a piece of paper the same size,fold in half, and half again. Open it flat, Where the folds cross is the centre point.

x2
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Report this Post05-25-2012 05:53 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
Unbelievably complicated answers here
Draw ANOTHER circle the same diameter on a piece of paper with a compass, and place it over the one you want to find the centre of...and you have the hole from the compass which will be the centre!! Poke the compass point through, and you have your mark
Cliff...difficult to fold a circle in half?? And then quarters?
Blimey...
See...ask a 'tech' and they will produce the most complicated system you ever heard of . Ask a FABRICATOR, and you will be amazed how SIMPLE it really is
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Report this Post05-25-2012 06:01 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
 
quote
Originally posted by fierofetish:
Draw ANOTHER circle the same diameter on a piece of paper with a compass

he said "exact", but he didn't say how exact. this will work, as will the paper fold technique, but is not very precise. how good is good enough?

[This message has been edited by lurker (edited 05-25-2012).]

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Report this Post05-25-2012 06:06 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by fierofetish:

Unbelievably complicated answers here
Draw ANOTHER circle the same diameter on a piece of paper with a compass


Meaning you would have to be able to measure the diameter of the original circle. And if you could do that, you would automatically be able to find the center. So finding the solution with the solution is hardly... ehm... a solution.


 
quote
Originally posted by fierofetish:

Cliff...difficult to fold a circle in half?? And then quarters?


Unless you can cut perfect circles - yes.

Besides, why is it more difficult to draw 4 lines on a circle than it is to first copy the circle on a piece of paper, then cut the paper, then fold it? Drawing those 4 lines takes perhaps 10 seconds. Hardly "the most complicated system you ever heard of".
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Report this Post05-25-2012 06:24 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
See what I mean?? 'Unless you can cut perfect circles...' Why do you have to cut it??? Draw it on a piece of paper. Hold it up to the light...and fold the bottom of the curve up to the top!!
But again...if you know the original diameter (which I assume the OP does ), draw another circle with the same diameter on a piece of paper with a compass...and you ALREADY have the centre point of BOTH! Simply place the second over the first, and push a pin through.

[This message has been edited by fierofetish (edited 05-25-2012).]

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Report this Post05-25-2012 06:36 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by fierofetish:

See what I mean?? 'Unless you can cut perfect circles...' Why do you have to cut it???


I agree. Cutting a circle is stupid. But didn't you say:

 
quote
Originally posted by fierofetish:

Cut out a piece of paper the same size,fold in half, and half again. Open it flat, Where the folds cross is the centre point.


 
quote
Draw it on a piece of paper. Hold it up to the light...and fold the bottom of the curve up to the top!!


And that's easier and more accurate than drawing four simple lines?

 
quote
But again...if you know the original diameter (which I assume the OP does ),,


Again, if he knew that, I'm pretty sure he wouldn't be asking here for a way to find the center of the circle.

 
quote
draw another circle with the same diameter on a piece of paper with a compass...and you ALREADY have the centre point of BOTH! Simply place the second over the first, and push a pin through.


Which is probably the most ineffective way of finding a circle's centre if you know it's diameter.
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Report this Post05-25-2012 06:38 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
 
quote
Originally posted by fierofetish:
if you know the original diameter

yes, he said it was "pizza sized". large, i assume. pepperoni, mushrooms, no anchovies, please.

[This message has been edited by lurker (edited 05-25-2012).]

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Report this Post05-25-2012 06:47 PM Click Here to See the Profile for 1988holleyformulaSend a Private Message to 1988holleyformulaDirect Link to This Post
Does anybody else really want to know what Rotrexfiero is working on, and if these solutions helped?

I read each post til the end, just hoping to see his thank you, and an explanation of how awesome his project turned out because of PFF.
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Report this Post05-25-2012 06:47 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
Hahahaha!!!! lurker
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Report this Post05-25-2012 06:47 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by lurker:

yes, he said it was "pizza sized".


Oh, then it's even easier to find the center. It's where the Pizza saver is.
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Report this Post05-25-2012 06:50 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
 
quote
Originally posted by Cliff Pennock:


Which is probably the most ineffective way of finding a circle's centre if you know it's diameter.



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Report this Post05-25-2012 06:50 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by 1988holleyformula:

Does anybody else really want to know what Rotrexfiero is working on,


I think we've established he's making pizza's. Large ones.

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Report this Post05-25-2012 06:53 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
since we're talking pizza, the answer probably has pi in it somewhere. see, i didn't sleep through all of geometry class!
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Report this Post05-25-2012 06:53 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by fierofetish:




Instead of throwing those rolling eye smilies around, please explain why it's easier to draw anything on a piece of paper first, then cutting it out - or not, folding it - or not, then overlaying it on the original circle than it is to draw 4 straight lines?
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Report this Post05-25-2012 06:55 PM Click Here to See the Profile for Lambo nutSend a Private Message to Lambo nutDirect Link to This Post
 
quote
Originally posted by heybjorn:

Send the whole thing to Marvin McMinnis with your requirements. It will be perfect when you get it back. Don't be surprised when you get a request for a large check.


Or a large Pizza!

Kevin

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Report this Post05-25-2012 06:56 PM Click Here to See the Profile for lurkerSend a Private Message to lurkerDirect Link to This Post
 
quote
Originally posted by Cliff Pennock:


Instead of throwing those rolling eye smilies around, please explain why it's easier to draw anything on a piece of paper first, then cutting it out - or not, folding it - or not, then overlaying it on the original circle than it is to draw 4 straight lines?


then there's the ugly question of what to do if the pizza is 7&3/32nds feet across.
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Report this Post05-25-2012 07:05 PM Click Here to See the Profile for 84fiero123Send a Private Message to 84fiero123Direct Link to This Post
Measure the circle at its largest from one side to the other with a yard stick, draw a line threw it. Then turn the yardstick to what you think is about the half way mark and draw another line threw it. And so on and so forth. The center will be where all the lines cross in the middle.

And I ain’t no engineer.

Steve

------------------
Technology is great when it works,
and one big pain in the ass when it doesn't
Detroit iron rules all the rest are just toys.

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Report this Post05-25-2012 07:11 PM Click Here to See the Profile for fierofetishSend a Private Message to fierofetishDirect Link to This Post
 
quote
Originally posted by Cliff Pennock:


Instead of throwing those rolling eye smilies around, please explain why it's easier to draw anything on a piece of paper first, then cutting it out - or not, folding it - or not, then overlaying it on the original circle than it is to draw 4 straight lines?

Because I neither need a RULER, nor a SET-SQUARE to do it...whereas...you do

[This message has been edited by fierofetish (edited 05-25-2012).]

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Report this Post05-25-2012 07:23 PM Click Here to See the Profile for Cliff PennockClick Here to visit Cliff Pennock's HomePageSend a Private Message to Cliff PennockDirect Link to This Post
 
quote
Originally posted by fierofetish:

Because I neither need a RULER, nor a SET-SQUARE to do it...whereas...you do



Yes you do and yes you do. But I think I get the feeling where this is going to so... you are right. Your methods are much better/easier/quicker/time efficient than drawing 4 simple lines. What was I thinking.

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