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Circular References - Simultaneous Equations
I am trying to use Excel 2000 to calculate the radius of the arc created by
taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation |
#2
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Damn!! When I entered my question, it was all so neat - except all my little
'squared' (2) signs have all appeared as "²" - which is a lot harder to understand. I hope someone will take the trouble to 'translate' my question. Andrew "Andrew" wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation |
#3
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A little algebra give the solution to R^2 = x^2 + (R-h)^2 as
R = (x^2 + h^2)/h/2 If you had a problem that was algebraically intractable, you could use Solver to numerically approximate the answer. Jerry Andrew wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation |
#4
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Jerry,
If you get to read this, -Thanks for your help! Obviously I need to work the equation much further than I had been, before Excel can deal with it! Appreciate your time. Andrew "Jerry W. Lewis" wrote: A little algebra give the solution to R^2 = x^2 + (R-h)^2 as R = (x^2 + h^2)/h/2 If you had a problem that was algebraically intractable, you could use Solver to numerically approximate the answer. Jerry Andrew wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation |
#5
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You're welcome.
Jerry Andrew wrote: Jerry, If you get to read this, -Thanks for your help! Obviously I need to work the equation much further than I had been, before Excel can deal with it! Appreciate your time. Andrew |
#6
Posted to microsoft.public.excel.misc
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Circular References - Simultaneous Equations
"Andrew" wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation |
#8
Posted to microsoft.public.excel.misc
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Circular References - Simultaneous Equations
"Andrew" wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: R² = x² +y² where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation It's a long time since your question but anyway... A diameter perpendicularly through the base of a sector is related as follows half the base length squared = the sector height (y1) times (circle diameter - y1) You should be able to calculate the diameter and therebt the radius from this |
#9
Posted to microsoft.public.excel.misc
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Circular References - Simultaneous Equations
It's a long time since your question but anyway...
I doubt if he is still monitoring the post after 3 years !! Pete On Nov 4, 12:58*pm, Willy Sinclair wrote: "Andrew" wrote: I am trying to use Excel 2000 to calculate the radius of the arc created by taking a slice off the top of the circle. I know the height of the slice (y1) and the length of the base of the slice. If the point at which the base intersects the circle is designated 'A', the Radius at point A is calculated as: * *R² = x² +y² *where x=0.5 x base length (8.0units) and y=(Radius minus the height of the slice) = (R-2.4units) R² therefore equals (8² + (R-2.4)² ) - Answer is 14.5333 by simultaneous equations. Trouble is, to calculate this in Excel results in a circular referece for the value of 'R'. Can anyone assist me to create a formula as I need to look at 100's of other values? Thanks in anticipation It's a long time since your question but anyway... A diameter perpendicularly through the base of a sector is related as follows half the base length squared = the sector height (y1) times (circle diameter - y1) You should be able to calculate the diameter and therebt the radius from this- Hide quoted text - - Show quoted text - |
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