Find the Center of a Circle the Easy Way
2024 ж. 15 Мам.
297 765 Рет қаралды
More details here bit.ly/3bb98ui
See how to find the center of a circle using only a square and a pencil.
This is the easiest and fastest way to do it.
You'll draw 2 chords (lines touching the circle in 2 places) then mark the midpoint, and I'll show you a tip that will make it super easy.
Then draw perpendicular lines through those midpoints and you have your center!!
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Thank you. At 70 years old, I have learned something new.
Will it be useful ?
Can someone please tell me this... Why don't they teach usefully things like this in school...as opposed to the things which totally confused the hell outta most folk and would never use again once we leave full-time education. An excellent video...simple, straightforward and to the point, no messing around. Thank you for making and sharing this video. ❤❤😊😊
Thank you! And agree that we need practical, applied geometry in school
They don't want us to be intelligent, but rather just smart enough to get a mediocre 9 to 5 so they can start collecting income tax right out of High School. If you want to be educated, then you have to pay for it by going to college, yet you'll still be lacking knowledge that should have been taught in grade school. But hey, now you'll have a degree, allowing you to have a more stable and better paying job and they can now collect a larger amount of income tax. 😐
Well, you know, they did teach this in school. In Geometry. In fact, they showed several different methods of finding the center of a circle. And also how to draw accurate tangents. Unfortunately, many students avoided taking Geometry because it was 'hard'. Instead they chose Sociology, or some other fluff course.
I don’t recall half of what I learned in any of my math classes, where I made all A’s, simple because I don’t use it. I also made A’s in all liberal arts classes too, and they were not fluff courses. All of it makes me a better teacher
@@johntoe6127 I went to a Catholic High School and this was taught in my Geometry class & Mechanical Drawing class. Paid in full though.
So cool. Geometry - maths without numbers. You can't get any better than this folks.
Without measuring tools, if tracing circle on paper: cut the circle out, fold in half, then fold in half the other way, the middle is where the folds meet.
Rhat would work. I just wouldn’t want to try to cut that accurately. A little measuring is faster
your way is FAR SIMPLER. Also there's no 'eye balling ' to do. Talk about contradiction.
I understand this technique can be used directly on the wood but when I came to fold it, I ran into difficulty.
At the fold the line will be a mm off.
This is a foolish!
And just like that, I learned another thing I wish I knew 20+ years ago... Thank you!
Very helpful, clear directions. Thank you
Very cool! I need to do exactly that--find the center of a circle. It's for a holder for a circular light. I traced the outside of the lamp but want to mount it from the center and you've saved the day. Thank you
Hhd😢😢 l.l.😅g82n7.fuxf.😢gbm😅😅ci
SURE WOULD HAVE BEEN NICE TO HAVE YOU FOR A TEACHER WHEN I WAS IN HIGH SCHOOL....🎉🎉🎉🎉 Watching from Houston, TX.🇨🇱🤠
I know they have to teach formal geometry in school, but would be great if they also taught an informal version of practical things, or even for art and do it like this without so much jargon
@@HeartwoodArt Very Happy to have found you, am now a member, will follow. I will also share you with others. 😄
Actually, if you already have a compass, you do not need the square to find center. Search KZhead to find out how. But the real reason I am posting is to say I would check my accuracy by simply drawing a couple more chords and follow her procedure. All the lines should meet in the center. Then you know for sure you got it right.
Yep, that would work to confirm it
Set the compass to be larger than the radius. Place point on circle edge and draw an arc. Place point on opposite edge draw an arc. Pla ce straight edge across where arcs intersect, draw line. Draw to more arcs do the same. Where the two lines drawn between where the two pairs of arcs intersect is the center of the circle.
@@clutchpedalreturnsprg7710 there are lots of ways to do it. Not everyone has a compass. So this is a good alternative
Thank you so much! Very simple. You rock!
This was awesome! Thanks! 👍🏻
Great tip. Thanks a lot!
Great tip! Thanks a lot! 👍👍👌
Awesome! Today I learned something new. Thanks for sharing.
Brilliant!!!☘
Thanks! You learn something new every day.... :)
Nice technique. Thanks for this video 👍
It's good to try different "angles' to do geometric creations . In grade 10 we were taught how to make a perfect oval on paper.
Excellent. Thank you.
Excellent & Easy way to find out the Centre of any Circle.
Briliant❤. Thank you.
Nice, thanks for sharing
🌹 Nice video! 🖌️🎨
you can do the same with the devider or compas
There’s at least 20 different ways to do it. This is the one that works best for me
That's a fun way to do it.
Love it, thank you.
Math is wonderful, useful and everywhere!
Thank you very much, that was a blessing.
You are wuuuuuuuunderful!❤
Thanks for the easy and clear example. Appreciate it!
You're welcome!!
Nice method!
The ways are endless and simple.
Its nice and easy, many ways to get around it, but makes it fun.
There's an easier way, using the same tools, that requires no measuring. Any right angle triangle, with all three corners touching a circle, will have a hypotenuse that perfectly divides that circle. Put the corner of the square on the circle, just like you did in the video, but instead of drawing chords, just mark the two points where the legs of the square intersect the circle. Those two points will be exactly opposite one another regardless of the size of the circle or the orientation of the square. Draw a line between those two points. Turn the square roughly 90 degrees, for a clearer intersection, and repeat the process. The point where those two lines intersect will be the center point of the circle.
I’ll give that a try
Exactly. Just inscribe a couple of rectangle triangles and intersect the diameters. easy!
Thank you!!
thank you nicely explained
Thanks I was just wondering how to do this yesterday and TA DA !, there you are- reading my mind.
Found your video today, thank you for helping me find the center of a circle for my project!!!!
Yay!! You’re welcome
Thank you ! 👍🙏
Thank you!
This is a good one and pretty simple. Is there some simple method to find the largest circle (and center i guess too) that will fit inside an irregular boundary shape ? For instance, a slab of wood cut diagonally from a tree whose sides were very wavy, eg not round - like almost star-like with bulges etc.
Perhaps find the widest width with a ruler. That will be the diameter and half that will be the radius and you can draw a circle on paper using that length and place it on the piece for best fit. There are more precise ways using geometry, but they are a bit more complex too.
@lylestavast7652 eye it at first then from that eyed center draw the biggest circle that will fit on your slab from that center. Keep making the circle bigger; moving the center until you find the largest circle that will fit within the boundary of the edges...then find center of that circle. That will get you close.....but if your building a table and your irregular shape is the top; then beef up your support to handle the irregularity of the weight distribution. You could find the biggest square or rectangle that will fit then draw straight line from corner to corner both ways to make an "x". The crossing lines is center of rectangle or square. Still; pay attention to weight distribution.
Thank you for sharing.
Seen so many of these videos where "content creators" copy each other without thinking. Dude, place the top of the right angle tool anywhere on the circle, like you did. The two points where the angle arms intersect the circle form a diameter - connect them. Repeat it from a different starting point. The intersection of the two diameters is your centre of the circle. Basic geometry.
Some folks don’t remember basic geometry and appreciate seeing different ways to do it. One of them will make sense to them. And to be a true diameter, the lines would have to pass through the center, which you don’t have yet.
@@HeartwoodArt If the right angle is on the circle, then said lines *are* a diameter, whether you already know where the center is or not. That's actually basic geometry, even described as the last application of Thales's theorem in this Wikipedia article: en.wikipedia.org/wiki/Thales%27s_theorem#Application And actually much more accurate, as you avoid many constructions and mesures.
Do whatever makes the most sense to you and you feel is most accurate with the tools you feel the most comfortable using. There is no single way to do it. Most folks don’t remember basic geometry and just want a simple method. This is one of many.
I was having a crap day and saw your smiling face and it made me feel better so thanks 2 times
Thank you very much.
I just did it on a round metal polish container cap just to test it out. It worked correctly and was easy. I think I'll be able to remember how to do it later on without looking up the instructions again.
This is easy way but there is even easier one 😃. When you drew first chord you should have drawn the chord created by the other side of the square. Two end points are on the diameter of the circle and splitting it in half and you are done. This is due to the fact that any inscribed triangle intercepting diameter is right triangle. Thanks for sharing.
This makes it easier than all the other laborious task arriving at near the same answer.
Since you have a protractor and a straight edge, you can simply measure the diameter of the circle by dragging the straight edge across the circle until it is widest. Mark the intersection of your straight edge and the perimeter. Measure this line and divide by 2. That is your center. To double check, set your protactor to the radius, with the pin on the exterio point and draw an arc. Set your pin on a random point on the perimeter and draw an arc through the center. They should both cross at the center. You can do this as many times as you want. If you end up crossing at a point other than center, you are off. You could also simply do the fist step several times. It should cross at the center.
There are lots of ways to do it. I find this one faster for me
@@HeartwoodArt Thanks. It used to bother me that so many people would thumbsdown a video like this but now that I understand that it's the coding within the platform itself which is doing it. Why you ask - because their goal is to create continual division and angst - because they are evil.
I've just looked at the centre of circles before and pin-pointed it by eyesight. Like when I shoot instinctively and hit my target.❤
Nice job 👍
Compass, pencil and I’m already drinking beer while you fiddle with square and pencil drawing lines.
This works on any size circle including those too big for most compasses to arc
@@HeartwoodArt I’m a wood turner…most industrial compass brands come in 12” giving a possible 24” circle. More than big enough in my world. Anyway. Whatever works for you!
Agreed. But not everyone had one that big. I had a one-off project for a dog feeder and didn’t want to buy a tool I would not have much use for otherwise
Very thanks❤
Thanks!
Very intuitive trick. Just seeing and reading your thumbnail I was able to deduce how to do it. I watched the video for verification. Additionally, this is very rememberable in its simplicity.
Nice!!
you can do this without any measuring by using a compass to locate the midpoint of the chord.
You would have to do it for 2 chords and that’s still a form of measuring, just with a compass.
Just use that protractor, set it to swing a arc off from circle over center. Swing 4 small opposing arcs, then with a straight edge draw two lines thru the arc intersections.
There are lots of ways to do it. This one works best for me on any size circle.
🤔 Since you have a set square, wouldn't this be easier → position the inside corner on the circle and mark where the arms cross the circle (no measuring needed), joining these marks gives a diameter. Do it again to get another diameter crossing the first, and where the diameters cross is the centre. This is based on the rule that all inscribed right triangles lie on the diameter of the circle.
There are lots of ways to do it. This one works for me.
I like using a compass for this chore.
There are lots of ways to do it. This is the way that works best for me
You can also just set the compass at half the measured diameter of the circle and then draw two or three arcs with the pin of the compass on several poits along the circle. Where the arcs cross, that the center.
There are lots of ways to do it and not everyone has a compass, or one that would work on big circles.
I often need to find the center of a log, which is never a perfect circle. In which case, log horizontal and chocked to prevent rolling, measure top to bottom, divide and mark, side to side, divide and mark, then use a torpedo level to draw horizontal line and vertical line. Center is where those intersect. When done on both ends, I now have four points to join lengthwise with a chalk line, dividing the log into lineal quadrants, and now I have the basis of a 'map' that I can use to create any shape I need.
That sounds like a good method for that application
Two parallel chords, equidistant from the circumference, the diagonals from each cord intersect at the centre of the circle.
Yes, but not many folks will remember what all of that means, or the terminology
Draw a square round it … draw diagonal intersection lines … job done.
There are lots of ways to do it. Depends on size of circle and tools you feel comfortable with as to what works best for you. This way is one that works best for me
Thats what I do. Instead of these more complicated ways
Wow!
I love it. But I won't remember it the next time I need it, which seems like too often only because it's so frustrating not knowing how.
Mark this video as a Favorite so it’s easy to find next time 😎
That's one way I suppose, but if you have a compass, just set it as close to half of the diameter of the circle and make a series of pencil marks from the outside line to the centre. Way quicker.
I think that’s a lot of guessing. I’d just as soon take 2 minutes to be more accurate.
If you have a compass just use that to cross the circle at three places, job done.
There are lots of ways to do it. This one works on any size circle.
I like to use my high powered rifle. I always find the center. :)
now that's some good derivative thinking there ! :)
This is handy for small circles.
Hi Thank You 😊😊😊
Very good idea when all you have is a square. I suggest doing at least three lines. Two lines will always intersect, no matter how innacurately you drew the lines, a third line will tell you how accurate you were (if they all intersect at the same point you know you were spot on). Similarly, you can be quite imprecise in drawing the lines, but draw as many lines as you want, and you will make a spot in the middle where all lines missed (because every line was slightly off centre), and this is the true centre. Only need a few lines to get a very close estimate of the exact centre.
That’s a good idea
Hi there, the correct terminology is, "A pair of compasses", a Compass has a very different purpose - Yes, I'm old, & a bit, old school. (but still haven't mastered the correct use of the Comma Lol.)
You’re right. I’m old and old school too, but figured the majority of folks watching this would think they needed 2 of them 🤪
@@HeartwoodArt 😇😇😇
I’m having flashbacks to high school trigonometry. Oh the headache.
There's an easier way than that. Put the corner of the framing square anywhere on the edge of the circle. Mark where the legs of the square cross the circle. Draw a line between those two points. Move the square to a different point on the circle and do it again. Where the two lines cross is the center.
There are lots of ways to do it. This is the way that works for me.
I prefer using a compass set to the radius dimension (1/2 the diameter) to find the center.
That works if you already know the diameter. If you’re working with a random dog bowl to make a feeder, like I was, that may not be possible
I like two arcs and a bisecting line
I like that too, but not everyone has a compass, or one big enough, depending on the circle size. Maybe folks don’t have a square either. Guess folks have to find a way that works best for them
Simpler, just measure across the circle and find the largest measurement, mark the outside of the circle where you made that measurement and draw a line across, bisect that line and there is your centre point, dead accurate and so easy without trying to be another Pythagorus.
That takes the same amount of time and not everyone has a compass to bisect a line.
What a silly argument, my method would take a fraction of the time of the one depicted here but if you decide on her method then I hope you have access to a square, not everyone has access to a square.@@AIDiscoverHub
This a very handy tip! Thanks!
The intersection of the perpendicular bisectors of any 2 chords of a circle is the center of that circle. H.S. geometry, Miss Kominski, 1949.
Yeah, most folks don’t remember much from their school math, especially the terminology
The bisector of the perpendicular bisector of any cord of a circle defines the center.
Of course it does. But nobody remembers their high school geometry class
Every time you put the ruler on the screen, in addition to the eye error, another error is added to your errors. I think this method is harder than the other methods 😂
There are lots of ways to do it. Use what works best for you. This works for me
if you play this in a construction workshop, you'll soon find the door, very, very long.
Draw one with a compass and where the pinhole is...thats the centre😁👍
The point was to be able to find the center of a thing, like the bowl, where you don’t know the radius
Prince Harry landed in the center of a dog bowl thanks to a body slam from Prince Willy !!!!
Great video thanks
If you have a square, or the L shaped ruler, put a corner on the circle and draw both perpendicular lines to meet with the circle at two points. Move the square to one of those points, use the one line as a guide and draw a third line to the circle. You now have 4 points. Cross them with straight lines, and you've got the center. ---- Another way: ---- If you have a compass, place the needle on the circle and draw a smaller circle (you'll see, later on, that a full circle is not needed). Place the pencil part on the large circle, close to the smaller circle, and turn until the needle is on the large circle. From there, make another smaller circle (same radius of the first smaller circle). Repeat once more. You have just created two lenses. Draw a line from one lens' pointy points from the outside one through the other into the circle, way beyond what you guess is the center (or, simply, cross the circle). Do the same with the other lens. The lines will meet in the center of the circle.
That could probably work
Top noch👍
Gotta love that accent.
Thank you.
A better and simpler way is a straight line drawn touching the edge of the circle slightly longer then the diameter of the circle., then using the square to draw another line at 90 degrees again touching the edge of the circle, repeat two more times times and the circle is in a square 2 lines drawn from corner to corner of each corner of the square and where they intersect is the centre. Now that’s the ‘easy way’.
There are lots of ways to do it. This one works best for me
To find the center of a circle using a ruler and a pencil, you can follow these steps: Draw a chord across the circle using your ruler and pencil. Draw another chord that intersects the first chord, creating an "X" shape within the circle. Use your ruler to measure the midpoint of each chord. Draw a line connecting the midpoints of the chords. This line will pass through the center of the circle. Repeat with a different pair of chords intersecting at a different angle. The point where the lines intersect is the center of the circle.
Yep, lots of ways to do it. That’s similar to this method, if you only have a ruler
👍
If you have a compass, place the needle on the circle and draw a smaller circle (you'll see, later on, that a full circle is not needed). Place the pencil part on the large circle, close to the smaller circle, and turn until the needle is on the large circle. From there, make another smaller circle (same radius of the first smaller circle). Repeat once more. You have just created two lenses. Draw a line from one lens' pointy points from the outside one through the other into the circle, way beyond what you guess is the center (or, simply, cross the circle). Do the same with the other lens. The lines will meet in the center of the circle. ---- Another way: ---- If you have a square, or the L shaped ruler, put a corner on the circle and draw both perpendicular lines to meet with the circle at two points. Move the square to one of those points, use the one line as a guide and draw a third line to the circle. You now have 4 points. Cross them with straight lines, and you've got the center.
Ty ma' am🙂
This is like going to china to get across the street.
Couldn’t you have just drawn the circle with your compass in the first place, you would have saved everyone 3 minutes of their lives.
The point of the tutorial is to be able to find the center of any circle where you don’t already know the size and/or tolerances are too tight to make guesses, like the dog bowl. The compass at the end was just to prove that the method shown works
I bet you regret including the pair of compasses in this video.
Jad to prove the method worked
Why not do perpendicular to two tangents at the tangent point? This gets rid of all the measuring.
There are lots of ways to do it. I feel comfortable with this one
To maximize accuracy the segment lines should be near 90 deg in proportion to each other. You say "wide angle". In this case 90 degrees is best "wide angle".
super helpful! thank you!
Thanks
The easiest and fastest way is to draw a square the same width as the circle, then draw a line from corner to corner, giving you the centre.
Depends on how big the circle is. This way works on any size including really big ones