# Thread: the ordered pairs of points that represent corners of an octagon

1. ## the ordered pairs of points that represent corners of an octagon

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

2. Please post the exact and complete wording of this question.
As stated, it is far too vague to attempt giving an answer.

3. Hello, mwp141!

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

Plato is absolutely right . . .

With no further information, here is an acceptable answer:

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

4. 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.

5. 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:
$\displaystyle \left\{ {\left( {\cos \left( {\frac{\pi }{8} + \frac{{k\pi }} {4}} \right),\sin \left( {\frac{\pi }{8} + \frac{{k\pi }}{4}} \right)} \right):k = 0,1, \cdots ,7} \right\}$.