the ordered pairs of points that represent corners of an octagon

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December 3rd 2010, 05:41 AM
mwp141

the ordered pairs of points that represent corners of an octagon

List the ordered pairs of points that represent corners of an octagon
December 3rd 2010, 05:46 AM
Plato

Please post the exact and complete wording of this question.
As stated, it is far too vague to attempt giving an answer.
December 3rd 2010, 05:52 AM
Soroban

Hello, mwp141!

Quote:

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

Plato is absolutely right . . .

With no further information, here is an acceptable answer:

. . $(x_1,y_1),\;(x_2,y_2),\;(x_3,y_3),\;(x_4,y_4),\;(x _5,y_5),\;(x_6,y_6),\;(x_7,y_7),\;(x_8,y_8)$
December 3rd 2010, 07:38 AM
mwp141

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.
December 3rd 2010, 07:47 AM
Plato

Quote:

Originally Posted by mwp141

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.

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