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Mathematics 18 Online
OpenStudy (anonymous):

how do you measure a curve???

OpenStudy (anonymous):

You mean out of a shape?

OpenStudy (anonymous):

yes, curved hexagon

OpenStudy (anonymous):

curved hexagon O.o

OpenStudy (anonymous):

do you mean a circle with an inscribed hexagon?

OpenStudy (anonymous):

no not really, its hard to explain , sorry

OpenStudy (anonymous):

just draw it :-P

OpenStudy (amistre64):

inch by inch

OpenStudy (anonymous):

that's how you normally approximate it, right

OpenStudy (amistre64):

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OpenStudy (amistre64):

consider a given segment and approximate it with a straight line; distance = \(\sqrt{\Delta x^2 + \Delta y^2}\)

OpenStudy (amistre64):

as you make the change in x smaller and smaller you get a better approximation

OpenStudy (amistre64):

when you get to the infinitesimal level; the change in x and y are dx and dy

OpenStudy (amistre64):

\[\int_{a}^{b}\sqrt{dx^2+dy^2}\ ds\]

OpenStudy (amistre64):

...curved hexagon? hmm

OpenStudy (anonymous):

thank you for your help

OpenStudy (anonymous):

right; use amistre's formula to approximate the length of curves and arcs in graphs.

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