TIP: Quickly Divide a Circle
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- Опубліковано 3 лис 2014
- A quick super accurate way to divide the circumference of a circle.
Just find the number of points you want to divide the circle into in the list below and multiple the radius by the value (e.g. 5 slices of a 4" diameter circle would be 2 * 1.1756) then set your calipers/compass
3: 1.7321
4: 1.4142
5: 1.1756
6: 1.0000
7: 0.8678
8: 0.7654
9: 0.6840
10: 0.6180
11: 0.5635
12: 0.5176
13: 0.4786
14: 0.4450
15: 0.4158
16: 0.3902
17: 0.3675
18: 0.3473
19: 0.3292
20: 0.3129
The multipliers above were calculated with the following formula
DEG = 360/n where "n" is how many points around the circle you want
sin(DEG/2)*2 = your multiplier
Here is a link to Jack Houweling's page: / jacka440 I highly recommend you check it out.
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Any kind of quick tip are always invaluable. Once you use this formula a few times (of just follow a table) it wouldn't take much to quickly calculate a new angle.
Thank you. I appreciate the time you took to do this. Great demo and explanation of the trig involved. Quite user friendly. Much appreciated. I enjoy tips like these. Great job, keep them coming!
Thank you =)
Very clear and easy to understand. Thank you. I needed this to properly plan out an impeller build.
Best description of what sine is and how it works that I’ve heard ~ and I’ve been looking for awhile
LOVE THE TIPS AND TRICKS, ESPECIALLY WHEN YOU EXPLAIN THE MATHS. KEEP THEM COMING
Thanks!
This was both quick AND practical. Most enjoyable and functional tip! Thanks for this!!
+Randyrru Rhino thanks for watching!
Excellent video!!! Exactly what I was looking for 👍🏻
Just now found this tip. Easy and clear. Helped me out, thanks!
+FinnCrafted Thanks!
I knew about this way of dividing a circle from my years of working as a machinist. However, just ran across the need for this after being retired for a couple years. Great tip about using the dial calipers to set the compass. Hadn't thought about that, and was using my old Starrett scale. The calipers make it a bit easier. At work, always had a computer and a drafting table for this sort of thing.
Now the way you explained it, made it a lot easier . Thank you
Just found your channel, great tips, keep them coming. Thanks
TJ weim Thanks!
Wonderful! Works great, a real time-saver for the protractor-less. Using it a lot.
👍👍👍
Thanks. I used your method to evenly divide some copper tubing wheels I made to place the holes for spokes evenly around the perimeter. Very helpful and accurate using millimeters. The maximum diameter of the largest was 20 inches.
Just used this info for making a welding rollout wheel. Glad I cam across your video
Excellent, just the information I was looking for. - Thanks. 👍🏻👌🏻
Thank you for this. Just a note for EXCEL users like me that tried to create an EXCEL spreadsheet using the formula described in the video. I couldn't replicate the results until I learned that the SINE function in Excel expects the input to be expressed in RADIANS so the result of Step 1 in the video (51.428...) needs to be converted to degrees by multiplying by PI()/180. Use the result (0.89759...) in the SINE formula. Then it works exactly as described above.
Scott Cardais great tip!
Thank you for a most informative video! Like many others who commented here it was a great refresher on my long-ago trig studies. I was attempting to create in MS Excel spreadsheet where I could simply plug in the bolt circle radius and the number of holes and have it calculate my hole center-to-center distance but at first I was getting numbers that were off from yours. I finally realized that the Excel sine function calculates in radians, not degrees! Once I plugged in the appropriate conversion from radians to degrees it worked perfectly.
Fred Sasse haha yeah I run into that a lot too I’m a software engineer by day and most of the trig functions are in radians which I confess I’m not as comfortable with.
Thanks!
You made me understand even before the end of the video.
Great tips. They always are welcome and keep them coming. Regards from Panamá
Many thanks from California!
Thanks for posting. I was trying to figure out the radius of a circle that could allow 8 couples (each located at one point on the circumference to sit at least 12 feet apart to maintain safe social distancing for happy hour during the caronavirus lockdown. Based on what you provided, I think I have it figured out. Now I need to go out to the island on our cul-de-sac to measure and place some stakes (NOT steaks) where our neighbors need to place their chairs! It looks like we'll need a circle with a radius of alomst 16 feet.
If your going to use a calculator why not just divide the circumference by the number of sides you want . Set your compass or caliper to that dimension and step off around the circle.
I like these kind of videos really helpful!
Thank you!
Yea...That's great man. And it's very quick IMO. Thanks for posting.
thx! I like it a lot! Thank you for sharing and explaining it so well!
Thanks for watching :)
Pretty cool - I'd definitely like to see more things like this..
Thanks!
Thanks! I will keep them coming.
Awsome explanation man
This is great. Really enjoyed watching it. +subbed
***** Thank you!
Spent the afternoon trying to figure out how to space my welds on a circular fan shroud so it looked decent. Now I know how, and knowing is half the battle.
thanks for taking the time sir
+lance logue thanks for watching!
Loves tips/tricks of the trade vids!
Thanks for this!
Love this practical approach to math for craftsmen. More of this theory please. Ps: love whats on your desk top...speaks volumes. I have the same SS D shackle on my desk
Thank you!
Thanks for sharing never would have imagined needing to know this in my life but iv got a great idea for a fireworks effect that requires.
Great tip thank you!
Thanks for watching!
Great videos! I just happened on to your videos and watched quite a few Thanks
Thanks :)
Great tip!
Thanks!
Thanks very much.
You're a lifesaver!, I was really frustrated with not coinciding points
+omer khan glad I could help :)
Thanks for sharing, great idea to apply on my new Turk’s head knot jig
Thanks for your assistance-- I'm currently processing an endecagon star .marking out is concisely required although I believe my formulae will be deg 3( cubed) 4a sphere. Great 2C if this works ! Trent
thanks for a great tip...
granitestatemike Thank you!
thank very help full
Thamk You
Nice presentation. I had asked if there was an easy way to cut it up smaller than 3 degrees. Many nights I fall asleep almost getting there.
Used to know that, but if you don't use it, you lose it. Thanks for bringing it back.
👍👍👍
Thanks from an un-smart un-savvy guy that likes to build lots of stuff to fight of boredom. Today making a wannabe surgical lamp lookalike from good will parts.... unusually shaped pots and pans Hah. Needed a nine part devision but this was so much better. Sweet for so much more. 💜 Good will!
I had always thought that it was an inverse linear relationship. So for 7 points it would be 6/7 times the radius. 6/7 = 0.8571 not 0.8678. It is very close on all the multipliers but always just off a bit.
Nice.
multiply -> "... list below and multiple the radius ...".
great video, how would you figure to get the opposite side to be 3.75 inches total length with 8 equal parts, what size circle would you need. Thanks in advance
cool staff what if you want to use desmos and divide a circle into larger number. what would be the equation?
How weird. I came straight here from watching the same Jack Houweling video. Great explanation Thanks.
Steven Mason Thanks!
I suck at math. That was nice to see. Thanks
Me too! Thanks for watching =)
Hello I need help dividing a circle into 6. So I’m doing a circular hanging light that has 6 lights off wires and I need them spacing evenly. Any help would be great Tia
This is great! I'm guessing you could use this with ovals as well?
What is the exact apps name of the scientific calculator on Android? I tried search power one xl.
hello would have the possibility of putting subtitles in Portuguese in Brazil
Absolutely brilliant! Your explanation and demonstration was crystal clear. Thank you.
👇
Oh, yes, where did you get your compass, looks great. 👍
Math: you can use sin A/a = Sin B/b also. Don't need to divide triangle in 1/2. A is centre angle, a is what you want to solve for., B is base angle of isosceles triangle and b is radius.
Hello!
Your video Info is very Good I appreciate ,,Only issue is the Camera angle shining on the calculator and cant see what youre doing and all is good ,Please change the angle a little bit and good to see you again )).
Thank you!
Why do you divide by 2 in the formula? Where does dividing by 2 come from?
Like it let's see more
@ 3:00 "So let's jump in."
Thanks for removing the cobwebs. I guess it's true when they say, "Use it or lose it." Keep 'em coming. By the way,, is that a bowl of coffee beans on your work surface?
Thanks! And yes it is, I on occasion smoke long churchwarden (like a hobbit) pipe and I use the bowl of coffee beans to keep it up right when I set it down.
2 X Pi X radius = circumference. . . . then divide by 7 . . . . easy & simple.
You made this look really hard.
Jesus Alsalbador that will give you the distance “around” the circle not the chord length that you need for dividers...
Divide the circumference into how ever many sections you want. For your instance it's 7 (heptagon). Then set that measurement on a protractor & mark the indices around the circle using each as the center point for the next index mark.
there's also this way ua-cam.com/video/cErccoHui9g/v-deo.html
You understand that arc length does not equal the chord length right? The chord is the distance the dividers need to be set too. Dividing the circumference will get you the arc length which is the length of each divisions only of you were traveling “around” the circle, but the dividers DO NOT do that. they connect two points on the circle and the straight line that connects those points (the chord) is the distance you want. Simply try your method and you will see what I mean.
That is significantly slower and more complicated than the method I showed. I’m not sure what your point is.
Brilliant, any tips on getting 30' only using a pair of compasses
30’ as in 30 feet? Or was that supposed to be degrees?
Degrees, sorry, couldn't see button.
TabLeft Workshop I found a problem with your formula when doing it in millimeter. so here it is for those of us that's not from USA
deg = 360/n where n is number of holes
(sin(deg/2)radius)2 so that's my solution for doing it in millimeters if i don't multiply your multiplier i get 24 holes.
[sin(deg/2)radius]2
divide a circle by 13
HELP. HELP HELP,,,,A normal circle has 360 degrees,,,,,,how can i create a circle with 147 equal arcs of degree. Or to put it another way, How can i create a 360 degree circle, with a 260 mm diameter, divided into 147 segments of arc, each with an angle of 2.4489795 of a degree. Any help will stop me breaking down, regards Jim
But what is the (SIN)..........?????
Application for horse pin at: 100diameter, plz
On the job I deal with 10’ circles (# of post to corral) to 200’ circle/pin to corral. Awesome 🤩 share my application is on larger scale
Thanks 🙏🏽
Bit confused .
your words "sin(DEG/2)*2 = your multiplier" are you meaning the radius of 2 inches when you use "*2 ="
The formula gives you a multiplier that will be used on the radius. The *2 never changes only the degrees (360/N) So if you were dividing the circle by 12 the formula would give you 0.5176. And if you had a radius of 5". 5*.5176 would give you the distance to set you calipers .
bro you tried to make this easy but I became quickly confused- what the heck is sign?
STIZEN9 its described at 9:04 the various trig functions on your calculator SIN,COS,TAN are really just dividing the length of various sides of a right triangle.
Your displays are glared out by the light...
too quiet
Love math 😂.
Quickly watch this 10 hour video
MORGAN WILLIAM comedy hours, minutes, basically the same thing right... 🙄 or you can read the description...
that's neither quick, nor practical.
Wrong but thanks for playing!
How do I subscribe?
practical, quick, fundamental, general and presented very well
there's glare from your light hitting the calculator, can't see what you are saying. Also, you are confusing and talking way too much. 360/ any amount will give the degree location. Why are you trying to make this simple function so complex?
IM deaf, title said quickly....2 min 44 there's still no drowaing?!?!?!?
The technique is quick, not the remedial math tutorial moron. From the looks of it, you can probably use a few English lessons too. Get your shit together.
painful to watch
uhm… so is your face?