Welcome to OnlineConversion.com Forums

 OnlineConversion Forums Find the radius from a chord
 [ Home ] [ Forum Home ] Register FAQ Calendar Search Today's Posts Mark Forums Read

 Convert and Calculate Post any conversion related questions and discussions here. If you're having trouble converting something, this is where you should post.* Guest Posting is allowed.

#11
05-07-2007, 06:26 PM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

C= cord
H=height (sagitta)
solution #1: square one half of c
now divide by H
then add the value of H
finally divide by 2
DONE!!!

solution #2: Square C
now divide that by 8 times H
now Divide H by two and add
that to the former number.

solution #3: square H
multiply this by 4
now divide all that by 8 times H

I sure hope this is helpful to find the radius of an arc knowing the cord length and the distance from the middle of the cord to the top of the arc
#12
07-08-2007, 01:05 AM
 naveen dhanerwal Guest Posts: n/a
Re: Find the radius from a chord

Yes, it's really works dear.

Quote:
 Originally Posted by Unregistered I am seeing your frustration. Please let me help you. C= cord H=height (sagitta) solution #1: square one half of c now divide by H then add the value of H finally divide by 2 DONE!!! solution #2: Square C now divide that by 8 times H now Divide H by two and add that to the former number. solution #3: square H multiply this by 4 Add to this, C squared now divide all that by 8 times H I sure hope this is helpful to find the radius of an arc knowing the cord length and the distance from the middle of the cord to the top of the arc
#13
08-25-2007, 05:18 PM
 Ken Cornine Guest Posts: n/a
Re: Find the radius from a chord

I just laid out formula #2 on the floor of my garage, and used a string to intersect my points. In my example C=27" & H=3". Using formula #2, the radius was 31-7/8" or 31.875. It crossed my points exactly. Thanks!

Ken
#14
12-08-2007, 07:03 AM
 Jeb Springfield Guest Posts: n/a
I have the radius. I need to find the arc length within/above the chord.

Any simple formulas?

Practically speaking, I'm trying to find the length of an inside wall curve around an inside room corner. The over all corner angle (past the curved part) could be 90 degree, could be 45, or something else.

Yes, I could just measure it. But sometimes that's a bit difficult for one reason or another.

Thanks
#15
12-12-2007, 03:30 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

Quote:
 Originally Posted by Unregistered Yes that is correct. I know the lenght of the chord (c) and the height of the arc created by the chord (m). Is there a formula to find the radius with this information?
Could you please let me know what the formula is by e mail.
#16
12-20-2007, 10:15 AM
 Mrs X can't count, can't spell! Join Date: Feb 2006 Location: New Zealand Posts: 2,294 Rep Power: 11
Re: Find the radius from a chord

Bumping for unregistered
#17
02-26-2008, 03:37 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

I stumbled on this through a google search. I was also looking for the same formula which I couldnt find in any of my study books. It's in the machinist handbook but I dont have one here at home.

Here's the Formula R = ((C/2)² + H²)/2H

So in your case with a chord of 30m and a height of 10m

R = ((30/2)² + 10²)/2*10
R = ((225+100)/20
R = 325/20
R = 16.25m

I know I'm a little late on the thread but should help others.
#18
03-08-2008, 01:54 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

Thank-you, this was really useful and I have not had any joy finding this formula elsewhere. HH.
#19
04-13-2008, 12:23 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

After using your equation to find my arc I found a slight error.
Maybe this will suffice.

-----------
2m
#20
05-12-2008, 07:17 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

By having only two measurments, first the length of the chord and the height of the curve, what is the formula for finding the radius of the circle

 Thread Tools Display Modes Linear Mode

 Posting Rules You may post new threads You may post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Main Forums     Convert and Calculate     Resources     General Chat

All times are GMT -8. The time now is 06:40 AM.