athitaya 3 years ago how do you measure a curve???

1. agdgdgdgwngo

You mean out of a shape?

2. athitaya

yes, curved hexagon

3. agdgdgdgwngo

curved hexagon O.o

4. agdgdgdgwngo

do you mean a circle with an inscribed hexagon?

5. athitaya

no not really, its hard to explain , sorry

6. agdgdgdgwngo

just draw it :-P

7. amistre64

inch by inch

8. agdgdgdgwngo

that's how you normally approximate it, right

9. amistre64

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10. amistre64

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

11. amistre64

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

12. amistre64

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

13. amistre64

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

14. amistre64

...curved hexagon? hmm

15. athitaya

thank you for your help

16. agdgdgdgwngo

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