I [needed] got some math help. Answer: about 1/2"

Kinja'd!!! "Rusty Vandura - www.tinyurl.com/keepoppo" (rustyvandura)
05/24/2019 at 11:30 • Filed to: None

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[EDIT]: Thank you.

A 16-foot chord is inscribed on a circle with a radius of 767.81 feet. What is the altitude of the bisector of the chord to the circle? +2 if you can tell me how you come up with the answer.


DISCUSSION (24)


Kinja'd!!! Just Jeepin' > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:38

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I vote 16’, since the two extremes of the function are the points where x=r and thus the length of the chord equals r, and x=0 when the length of the chord equals 0.

I’m sure there’s calculus to prove me wrong, but FAKE NEWS.


Kinja'd!!! ttyymmnn > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:40

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Kinja'd!!! someassemblyrequired > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:41

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https://www.mathopenref.com/sagitta.html - it explains it and provides a calculator - the bisector in your problem is the “sagitta”


Kinja'd!!! EngineerWithTools > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:42

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.04 ft

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Kinja'd!!! ttyymmnn > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:42

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Kinja'd!!! Just Jeepin' > someassemblyrequired
05/23/2019 at 20:43

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As a Sagittarius I’m more than a little disappointed I didn’t know that term.


Kinja'd!!! someassemblyrequired > Just Jeepin'
05/23/2019 at 20:44

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that’s the MathNerd ™ term, it’s pretty obscure


Kinja'd!!! Levitas > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:44

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If the chord connects on either end to the circle, then you have a right triangle with hypotenuse with the same length as your radius. Using half the length of the chord (8') and R (767.81'), you can solve for the third leg using Pythagoreum’s theorem, which would be equal to (R - x).

So then (R)^2 = (8)^2 + (R-x)^2, solve for x.

x = .0417'

ed: damn too slow


Kinja'd!!! TorqueToYield > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:46

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hmm


Kinja'd!!! Future Heap Owner > Just Jeepin'
05/23/2019 at 20:49

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Not all paths between two points are a straight line. In fact, to a very good approximation, none of them are. REAL NUMBERS


Kinja'd!!! OPPOsaurus WRX > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 20:55

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Id just draw it in CAD and measure it but that would mean id have to get up


Kinja'd!!! MrDakka > OPPOsaurus WRX
05/23/2019 at 21:07

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Gotta love constraints and the measure tool


Kinja'd!!! Rusty Vandura - www.tinyurl.com/keepoppo > Levitas
05/23/2019 at 23:06

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Yes! Indeed.


Kinja'd!!! Rusty Vandura - www.tinyurl.com/keepoppo > EngineerWithTools
05/23/2019 at 23:09

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I did that in Algebra once. Or was it Calculus? The math is familiar to me, but it's been many years. Thank you!


Kinja'd!!! 415s30 W123TSXWaggoIIIIIIo ( •_•))°) > Rusty Vandura - www.tinyurl.com/keepoppo
05/23/2019 at 23:31

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Kinja'd!!! Distraxi's idea of perfection is a Jagroen > Future Heap Owner
05/23/2019 at 23:46

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!!! UNKNOWN CONTENT TYPE !!!

Maybe no t in your hyperspace.


Kinja'd!!! Rusty Vandura - www.tinyurl.com/keepoppo > 415s30 W123TSXWaggoIIIIIIo ( •_•))°)
05/24/2019 at 00:37

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Kinja'd!!! Highlander-Datsuns are Forever > EngineerWithTools
05/24/2019 at 01:07

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It takes an engineer! They can’t get ride of us so easily.


Kinja'd!!! ateamfan42 > EngineerWithTools
05/24/2019 at 09:44

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Pythagoras strikes again!


Kinja'd!!! ttyymmnn > Rusty Vandura - www.tinyurl.com/keepoppo
05/24/2019 at 11:33

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Was that a practical problem or an intellectual problem? 


Kinja'd!!! vicali > 415s30 W123TSXWaggoIIIIIIo ( •_•))°)
05/24/2019 at 12:10

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Kinja'd!!! Rusty Vandura - www.tinyurl.com/keepoppo > ttyymmnn
05/24/2019 at 12:26

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Practical. My BIL is building something for his job, probably a bridge, and he’ll be looking for how high the crest is from either side. Probably ordering some ready-made fabricated steel structure. But Oppo came through and showed me the geometry, and it’s really quite accessible.


Kinja'd!!! AMGtech - now with more recalls! > Rusty Vandura - www.tinyurl.com/keepoppo
05/24/2019 at 16:14

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I’m just trying to figure out how you measure music in feet 


Kinja'd!!! Rusty Vandura - www.tinyurl.com/keepoppo > AMGtech - now with more recalls!
05/24/2019 at 16:18

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Yes, an interesting notion how that word shows up in both contexts. I’ll ask Ttyymmnn about that one...