Mebbe
Dave
Mebbe
Dave
Try looking at
Dan
Siatta? Perp height between chord and circumference? Spelling?
In case the suggested sites don't work out:
Let h be your siatta, L the chord length, r the circle radius Then r-h is the chord to the center ( unless THIS was your siatta?).
Then (r-h)^2 + (L/2)^2 = r^2, r = (L^2/4 + h^2)/2h
Now, you can calc angles: subtended chord angle = arc cos (r-h)/r, convert to radians, and use:
arc L = ( (angle)/2pi ) * 2 pi r = ( angle in rads) * r
You should put recurring formulas in a spreadsheet, so you have them available. Ahm talkin to myself here.... :(
I'm pretty good with algebra and trig. Yet, sometimes, I get stumped, or would just like to take the easy way out.
I had a site on my old computer that computed distance around an arc by entering the length of the siatta and the flat measurement between the ends of the arc.
Anyone remember that sits?
Steve
The length of an arc of a circle is: [ (Pi x radius x angle) / 180 ]
The length of a chord subtending and angle is: (2 x radius x sin of 1/2 the angle)
Bob Swinney
I had a site on my old computer that computed distance around an arc by entering the length of the siatta and the flat measurement between the ends of the arc.
Anyone remember that sits?
Steve
sagitta
Oh, yeah, better to use Swinney's first suggestion, in degrees, simpler.
But, in his second line, r would still need to be solved for, since it wasn't given in the initial problem.
But, r wasn't given.
The Circle Calculator:
-Frank
What Ned said.
Sagitta is Latin for an arrow, the arc and chord resemble an undrawn bow and string.
jsw
Nice math site.... altho I wonder if people with enough smarts to want to solve geometry problems would go for those bullshit diet/exercise ads.... And ackshooly, they would!
Nice knives!! That Mammoth tooth/magnesium for $977.77.... can I get it for $977.75??
No, the one I had, you just entered the distance along a straight line from end to end of the chord, the height at the center (siatta, sp?), and it would give you the length of the curved chord. Used it to calculate asphalt and sidewalk when curved streets were a mile or two long.
Steve
Steve
What Ned said.
Sagitta is Latin for an arrow, the arc and chord resemble an undrawn bow and string.
jsw
Saggita, that was it. My grey matter hard drive got full, and I had to kick that out to put something in.
Steve
Hold your phone calls, folks. We do have a winner. That was it.
It really doesn't make a lot of difference, but when my boss double checks me, I always like to be able to quote the formula or source of the answer.
Thanks, Frank.
The Marv Klotz site has free home shop software and various types of math-related solutions
You're welcome.
The Triangle Calculator is pretty neat, too:
-Frank
LOL! It was originally $777.77 just to be a smart-ass. But, in spite of what I told you in my email, my wife DID update the site about a year ago and, unknown to me until a few days later, she raised all my prices!
-Frank
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