List the ordered pairs of points that represent corners of an octagon

- Dec 3rd 2010, 04:41 AMmwp141the ordered pairs of points that represent corners of an octagon
List the ordered pairs of points that represent corners of an octagon

- Dec 3rd 2010, 04:46 AMPlato
Please post the exact and complete wording of this question.

As stated, it is far too vague to attempt giving an answer. - Dec 3rd 2010, 04:52 AMSoroban
Hello, mwp141!

Quote:

$\displaystyle \text{List the ordered pairs of points that represent corners of an octagon.}$

Plato is absolutely right . . .

With no further information, here is an acceptable answer:

. . $\displaystyle (x_1,y_1),\;(x_2,y_2),\;(x_3,y_3),\;(x_4,y_4),\;(x _5,y_5),\;(x_6,y_6),\;(x_7,y_7),\;(x_8,y_8)$

- Dec 3rd 2010, 06:38 AMmwp141
Draw an object consisting entirely of straight lines . These are all symmetrical objects. Avoid drawing a rectangle or triangle. List the pairs of the points that represent corners of your object. My object is an octagon.

- Dec 3rd 2010, 06:47 AMPlato
You could have saved us all time if you had done that to begin with.

A regular octagon centered at the origin and ‘radius’ one has vertex coordinates of:

$\displaystyle \left\{ {\left( {\cos \left( {\frac{\pi }{8} + \frac{{k\pi }}

{4}} \right),\sin \left( {\frac{\pi }{8} + \frac{{k\pi }}{4}} \right)} \right):k = 0,1, \cdots ,7} \right\}$.