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#51
12-09-2010, 02:09 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,714 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by Unregistered The answer using the above Numbers should be 0.0288
Agreed. I must have made an error keying the numbers in. Thanks
#52
04-20-2011, 05:53 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

Thanks! that formula worked like a charm for automating my radius calculations along a railroad track. It gave pretty much the same results as least squares circel fitting.

Anyone know what the name of the formula is and/or a scientific paper i can refer to it?
#53
04-20-2011, 11:08 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,714 Rep Power: 17
Re: Find the radius from a chord

Quote:
 Originally Posted by Unregistered Thanks! that formula worked like a charm for automating my radius calculations along a railroad track. It gave pretty much the same results as least squares circel fitting. Anyone know what the name of the formula is and/or a scientific paper i can refer to it?
I have never seen a name given to it. It is included in most math reference books. In the CRC Standard Mathematical Tables, it is covered in the Geometry section, under sector and segment of a circle. (Page numbers vary in different editions)
#54
04-29-2011, 03:26 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

m^2 + (1/2c)^2 / 2m = r
#55
05-12-2011, 08:51 AM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

Quote:
 Originally Posted by Robert Fogt Just to make sure we are talking about the same thing, c is a straight line between points X and Z, called the cord, the curved line would be called arc length XZ. Assuming you know c (not XZ) and m then the formula would be: r = (m² + ¼c²)/2m
brilliant, thankyou , i needed this info too. spot and many many thanks. Andy
#56
05-16-2011, 12:40 PM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

The formula your looking for is....
(x/2)squared + Y squared/ 2Y = R

I cant figure out how to write this on the computer but its (X over 2) squared + Y squared and all of that is over 2Y = Radius

Hope that helps.
Its in Circular Work in Carpentry and Joinery on the 9th page
#57
05-25-2011, 02:33 PM
 Unregistered Guest Posts: n/a
Re: Find the radius from a chord

where that formula come from? will you please explain me how to get to that formula r=(m2 +1/4c2)/2m
#58
06-18-2011, 09:51 PM
 Unregistered Guest Posts: n/a
Re: Find the chord length when we know the diameter of circle

Find the chord length when we know the diameter of circle
#59
07-19-2011, 06:10 AM
 Dale Guest Posts: n/a
Re: Find the chord length from arch length and radius

I know the arch length and the radius..need to know the cord length
#60
07-19-2011, 08:46 AM
 JohnS Double Ultimate Supreme Member Join Date: Dec 2007 Location: SE Michigan, USA Posts: 8,714 Rep Power: 17
Re: Find the chord length from arch length and radius

Quote:
 Originally Posted by Dale I know the arch length and the radius..need to know the cord length
Switch calculator to radian mode. The central angle is
Chord = 2*R*sin(theta/2)

This only works in radian mode.

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