athitaya
how do you measure a curve???



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agdgdgdgwngo
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You mean out of a shape?

athitaya
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yes, curved hexagon

agdgdgdgwngo
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curved hexagon O.o

agdgdgdgwngo
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do you mean a circle with an inscribed hexagon?

athitaya
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no not really, its hard to explain , sorry

agdgdgdgwngo
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just draw it :P

amistre64
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inch by inch

agdgdgdgwngo
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that's how you normally approximate it, right

amistre64
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dw:1326317247010:dw

amistre64
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consider a given segment and approximate it with a straight line;
distance = \(\sqrt{\Delta x^2 + \Delta y^2}\)

amistre64
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as you make the change in x smaller and smaller you get a better approximation

amistre64
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when you get to the infinitesimal level; the change in x and y are dx and dy

amistre64
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\[\int_{a}^{b}\sqrt{dx^2+dy^2}\ ds\]

amistre64
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...curved hexagon? hmm

athitaya
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thank you for your help

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