GREAT JOB! I'm a retired carpenter still playing with wood- I recentlyI had to make a bird feeder from the remains of the original-the individual wanted it to match as close as possible. It Had a partial arc on a piece which appeared to be smooth, so I needed to figure the radius- so glad I found your explanation- you are a teacher that would have made a difference when i was coming along. Thank you for sharing your gift!
I struggled for the better part of an hour trying to figure out how to calculate radius of a circle using chord. This video allowed me to comprehend and calculate in 6 minutes. Thank you!
It's 1 in the morning, and for some reason this problem popped into my head, in the context of drawing curves in sewing patterns from a sketch. Thank you for a concise and informative video.
I make templates of existing arch top door frames to build custom doors. I always outline the old doors and usually that works. However, using this video I will be able to do this formula and get close and then trim my doors to fit. It’ll save time and materials. Thanks a ton for sharing.
Thumbs up for using metric! And still stating the imperial system for those who prefer that. Now I realize why I should have been awake during math classes!
Have been a finish carpenter for almost 50 years and was "allowed" to skip Geometry in 10th grade to go immediately in Algebra 2.....Have regretted it ever since....Thank for your very articulate explanation!
Brilliantly explained. I've been trying to build wheel arch on a car but needed to know diameter of the circle that forms the arch (chord) so I can cut out steel at correct diameter. Now I know 👍👏
Thanks!! I’ve been searching the internet for this exact equation to solve for a very similar issue, and I’ve watched about 15 videos before I found this. I knew it was a simple solution, but because I never took geometry in high school, it was a little over my head until I found this. So, thanks again!!
I've been watching your videos for a while now. And love what you do. I was helping my daughter with some math homework and low and behold this came in real handy!!!! Thanks for great videos and explanations!!!!
Awesome explanation, thank you a lot. I have known website that did all the work for me but knowing the real reason behind why it works I know feel smarter and able to work faster and with less help !
+Miter Mike's Woodshop funny that growing up every always said if you want to work in computers you need to be good at math. I've been programming since about 1999 and I use way more math woodworking then I ever have programming.
This can be proven using pythagorean theorem as well. Let's say C = The height of arc B = The base of the arc R = Radius of the circle D = diameter of the circle Then we can say that, R^2 = B^2 + (R-C)^2 (Expand (R-C)^2) R^2 = B^2 + R^2 - 2RC + C^2 (cancel R^2 from both sides) 2RC = B^2 + C^2 (Move C from left to right) 2R = (B^2 + C^2) / C (Simplify right side) D = 2R = B^2/C + C
Thanks for the formula. I was looking to find the radius with only an arc and chord and no centre of circle. This is exactly what I needed. P.S. The metric system is better to deal with. They did a survey and found out that 4 out of 3 people are bad at fractions. (Joke)😄
Im always laying out arches in custom carpentry. I usually resort to an online calculator for this. This is the easiest method I've seen to figure it manually.
I was trying to recreate a part in Fusion. I had a rectangular widget that had an "arced cut-out" in the top and I was scratching my head on what diameter circle to use to bring it into the drawing to create that exact arc.
How would you do something like this for making a saddle like in welding? Is there a calculation that you can do to figure out how to cut the saddle perfectly so it sits on the pipe?
I'd've done much better in algebra with a teacher with a grasp of the subject like you. I kinda geeked out hard on this video, even took notes. I'm ready for the quiz!!!
Tracy Luegge haha nice! Thank you very much :). If you like math tips my first TIP: video was another math related one you might like ruclips.net/video/8Rg2DT7BOE0/видео.html
I am a cnc operator and programmer. My machine is all sorts of fu ked up. I literally put in the right radius and every once in a while my machine won't do it right. Been a long time since I had to find a radius but tomorrow imma flip out on my foreman and a few other people who claimed I don't know how to do a simple radius. All my programming is correct in autocad. And the machines software.
The units are effectively meaningless in the formula the math would still work in light years. also ffs learn metric anyone that can’t work fluidly in any unit is severely nerfing themselves.
I cannot find anyone to help me solve what I think must be simple for smarter people that me. I am just barely smart enough to look for answers. Let me try to ask my question without the benefit of pen and paper. Imagine that you know the width (chord) of an arc and you know amount of rise or deflection you want to achieve over that length ... let's say one foot. Is there no way to make a measurement, or many of them over the length of the chord to measured points along that chord thus defining the desired arc? If This makes no sense, forgive me. I can see clearly in my own mind what I am asking, however, that does not mean that others can understand what I want to know. If anyone can help, it will be much appreciated. Likely the answer is simple and I should know it, but guess what ... I don't. One more item ... you may wonder why I do not get a string, a nail and a pencil and do a trial and error method ... that would work, but not with the amount of space available in this and in many circumstances which I come across. HELP!!! PLEASE!!!
David Burns well given the the chord length (width) and rise (deflection) the intersecting chord formula presented here will give you the pivot point needed to define the arc with a compass or divider. I feel like I’m probably mid understanding the issue though.
@@TabLeft Yes, I do think you are missing my point, but I thank you for the description. My situation is one of limited space ... translating a paper derived formula to a real world setting still leaves me in a bad spot. In fact, I have solved this problem by making reasonable assumptions and deciding what looks right in the case of a radius on a gate top. I could go out into the parking lot and do this in real time/space, however, getting it to look good and not being 'persnikative' as to the exact radius worked fine for my eyes and that of my client. Thanks for trying ... that's the key to keep moving forward, even if only in fits and starts.
David Burns ahh yeah for larger things we don’t usually scribe arc in the traditional way. Generally you place a nail at each end of the length and one at the top center and with a flexible ruler or thin strip of wood bend it over the middle top nail and under the two side nails. It won’t be a 100% perfect circle segment but it’s a good approximation that looks good and gets used a lot in fencing, carpentry, and furniture making etc.
@@TabLeft Yes, yes, yes ... you describe several good options and I had done something of that sort already. I took a roll of painters tape and pulled out an arc on top of my 4' x 8' table, something which felt good, then I massaged it a bit, finding a look that pleased my eye, sent a photo to my client and got a hasty approval. I still wonder if there is not a formula for describing an arc from a chord, but one may need more information than just two elements for it to work. Again, thanks for the help, we now have a gate arc to fabricate and in a few days, maybe weeks, that build process will start showing up on RUclips.
GREAT JOB! I'm a retired carpenter still playing with wood- I recentlyI had to make a bird feeder from the remains of the original-the individual wanted it to match as close as possible. It Had a partial arc on a piece which appeared to be smooth, so I needed to figure the radius- so glad I found your explanation- you are a teacher that would have made a difference when i was coming along. Thank you for sharing your gift!
I struggled for the better part of an hour trying to figure out how to calculate radius of a circle using chord. This video allowed me to comprehend and calculate in 6 minutes. Thank you!
Same! I'm working on a woodworking project where I needed this exact type of calculation, so this was perfect!
Thank you so very much. As a custom woodworker that also repairs antique furniture. This is going to make my life so much easier.
Learnt something more valuable than 10 TED talks put together. Thanks!
You nailed it. This is an explanation that works with the way my brain works. Thanks
It's 1 in the morning, and for some reason this problem popped into my head, in the context of drawing curves in sewing patterns from a sketch. Thank you for a concise and informative video.
I make templates of existing arch top door frames to build custom doors. I always outline the old doors and usually that works. However, using this video I will be able to do this formula and get close and then trim my doors to fit. It’ll save time and materials. Thanks a ton for sharing.
roger drum glad to be of assistance :)
Thumbs up for using metric! And still stating the imperial system for those who prefer that. Now I realize why I should have been awake during math classes!
Workshop on Wheels lol thanks :)
Thank God for you! I found the formula on a machinist website….WAY more convoluted. This was simple to follow & easy to remember. Thank you!
Have been a finish carpenter for almost 50 years and was "allowed" to skip Geometry in 10th grade to go immediately in Algebra 2.....Have regretted it ever since....Thank for your very articulate explanation!
Amazing! Great explanation, I was looking for this for 2 days....
Brilliantly explained. I've been trying to build wheel arch on a car but needed to know diameter of the circle that forms the arch (chord) so I can cut out steel at correct diameter. Now I know 👍👏
Thanks!! I’ve been searching the internet for this exact equation to solve for a very similar issue, and I’ve watched about 15 videos before I found this. I knew it was a simple solution, but because I never took geometry in high school, it was a little over my head until I found this. So, thanks again!!
I've been watching your videos for a while now. And love what you do. I was helping my daughter with some math homework and low and behold this came in real handy!!!! Thanks for great videos and explanations!!!!
Manuel Ramirez that's great to hear thank you 😊
thank you. i needed this to find out how big my radius needed to be to trace a circle on sound deadening material 💯
Love it! Using it on my next project!
amazing trick and amazing explanation, you're an absolute lifesaver
Awesome explanation, thank you a lot. I have known website that did all the work for me but knowing the real reason behind why it works I know feel smarter and able to work faster and with less help !
Thanks for posting, this was exactly what I was looking for. 😊
By far the best explained. Just simple math.
i loved geometry in school. thanks for the trip down memory lane....Ray nice explanation for those who don't understand.
+Miter Mike's Woodshop funny that growing up every always said if you want to work in computers you need to be good at math. I've been programming since about 1999 and I use way more math woodworking then I ever have programming.
You're a genius. Thank you! I can finish my project now
Dude thanks a lot i have been looking for this for a month now
I knew there was a way to do this. I knew somewhere in time I had learned about this in high school. Thanks for the help.
This can be proven using pythagorean theorem as well. Let's say
C = The height of arc
B = The base of the arc
R = Radius of the circle
D = diameter of the circle
Then we can say that,
R^2 = B^2 + (R-C)^2 (Expand (R-C)^2)
R^2 = B^2 + R^2 - 2RC + C^2 (cancel R^2 from both sides)
2RC = B^2 + C^2 (Move C from left to right)
2R = (B^2 + C^2) / C (Simplify right side)
D = 2R = B^2/C + C
Thanks for the formula. I was looking to find the radius with only an arc and chord and no centre of circle. This is exactly what I needed.
P.S. The metric system is better to deal with. They did a survey and found out that 4 out of 3 people are bad at fractions. (Joke)😄
Thanks I use your demonstration to build my wooden arches for masonry front doors and fireplaces.
Awesome!
Thanks dude! There when I needed it.
Thank you for this I'm programming a graphics thing on the computer and helped me sooooooo much
Absolutely brilliant! Thank you ❤❤
Im always laying out arches in custom carpentry. I usually resort to an online calculator for this. This is the easiest method I've seen to figure it manually.
And how do you pick up the with if the edges are chamfered?
I was trying to recreate a part in Fusion. I had a rectangular widget that had an "arced cut-out" in the top and I was scratching my head on what diameter circle to use to bring it into the drawing to create that exact arc.
thats what i was looking for
Thanks for the reminder ! Great work!
Thanks for watching!
Awesome video, excellent explanation. One point I still don't get:
2:25 what do you mean "give us our actual arc" ?
exactly the problem I needed to solve. Thank you!
How would you do something like this for making a saddle like in welding? Is there a calculation that you can do to figure out how to cut the saddle perfectly so it sits on the pipe?
Excellent tip! Thanks.
Rick Williams thank you!
well done ! so clear and understandable😊
thank couldn't remember it i was going nut for my replacement part
How do you find an arc of that?
I'd've done much better in algebra with a teacher with a grasp of the subject like you.
I kinda geeked out hard on this video, even took notes. I'm ready for the quiz!!!
Tracy Luegge haha nice! Thank you very much :). If you like math tips my first TIP: video was another math related one you might like ruclips.net/video/8Rg2DT7BOE0/видео.html
TabLeft Workshop I'll have to check it out. Thanks for the TIP tip. 🤣
Very helpful, just saved me $200 on an expensive guage that probly wouldnt have worked as good
Great work
That was easy enough nice job.
Dan The Maker Man thanks!
Thanks...that falls under the "Information I should have retained but failed to" list....lol.
You're a real smart feller!
Wm. Walker Co. you misspelled fart smeller :)
TabLeft Workshop I almost posted that but wasn't sure if that would register! I grew up with that but didn't know if it was colloquial or not!
thank you so much
I freaking love you.
Yes, I remember my Algebra. Thanks for bring up some awful memories. HaHa. Very cool Ray, thanks for the refresher. Could be very useful info.
GuysWoodshop haha thanks for watching!
very useful, thanks!
Very elegant.
baconsoda thank you!
THANK YOU !!!!!!!!!
I am a cnc operator and programmer. My machine is all sorts of fu ked up. I literally put in the right radius and every once in a while my machine won't do it right. Been a long time since I had to find a radius but tomorrow imma flip out on my foreman and a few other people who claimed I don't know how to do a simple radius. All my programming is correct in autocad. And the machines software.
Thanks.
I'm trying to make a telescope :D
I did the same but in a cave in Afghanistan with no tools well even better Archimedes solved the circumscribed sphere in a cylinder in sand
Heighth…
Yay math!
Seth Galitzer every once in awhile it comes in handy :)
MM really?
The units are effectively meaningless in the formula the math would still work in light years. also ffs learn metric anyone that can’t work fluidly in any unit is severely nerfing themselves.
I cannot find anyone to help me solve what I think must be simple for smarter people that me. I am just barely smart enough to look for answers. Let me try to ask my question without the benefit of pen and paper. Imagine that you know the width (chord) of an arc and you know amount of rise or deflection you want to achieve over that length ... let's say one foot.
Is there no way to make a measurement, or many of them over the length of the chord to measured points along that chord thus defining the desired arc?
If This makes no sense, forgive me. I can see clearly in my own mind what I am asking, however, that does not mean that others can understand what I want to know. If anyone can help, it will be much appreciated. Likely the answer is simple and I should know it, but guess what ... I don't. One more item ... you may wonder why I do not get a string, a nail and a pencil and do a trial and error method ... that would work, but not with the amount of space available in this and in many circumstances which I come across. HELP!!! PLEASE!!!
David Burns well given the the chord length (width) and rise (deflection) the intersecting chord formula presented here will give you the pivot point needed to define the arc with a compass or divider. I feel like I’m probably mid understanding the issue though.
@@TabLeft Yes, I do think you are missing my point, but I thank you for the description. My situation is one of limited space ... translating a paper derived formula to a real world setting still leaves me in a bad spot. In fact, I have solved this problem by making reasonable assumptions and deciding what looks right in the case of a radius on a gate top. I could go out into the parking lot and do this in real time/space, however, getting it to look good and not being 'persnikative' as to the exact radius worked fine for my eyes and that of my client. Thanks for trying ... that's the key to keep moving forward, even if only in fits and starts.
David Burns ahh yeah for larger things we don’t usually scribe arc in the traditional way. Generally you place a nail at each end of the length and one at the top center and with a flexible ruler or thin strip of wood bend it over the middle top nail and under the two side nails. It won’t be a 100% perfect circle segment but it’s a good approximation that looks good and gets used a lot in fencing, carpentry, and furniture making etc.
@@TabLeft Yes, yes, yes ... you describe several good options and I had done something of that sort already. I took a roll of painters tape and pulled out an arc on top of my 4' x 8' table, something which felt good, then I massaged it a bit, finding a look that pleased my eye, sent a photo to my client and got a hasty approval. I still wonder if there is not a formula for describing an arc from a chord, but one may need more information than just two elements for it to work. Again, thanks for the help, we now have a gate arc to fabricate and in a few days, maybe weeks, that build process will start showing up on RUclips.
David Burns like the man says if it looks straight it is straight :)
1. The explanation was too fast!
2. All that explaining and never got an answer!!!!
huh?
Emilio Carbajal wha?!?
😘
Tableft Workshop I will correct the fact that you said "heith" instead of height, as a non criticism correction for future.