I'm assuming the "star" can be fashioned out of a pentagon inscribed in a circle having a radius of 1.  And the center of this circle is located at (0, 0).

I'm also assuming that the "top" corner (vertex) of the star is located at (0,1)

Then.......proceeding clockwise, the next corner (vertex)  is located at (cos (18), sin (18))  = about (.951, .309)

And the next corner is located at (cos (306), sin (306))  = about (.588, -.809)

And by symmetry, the final two corner points are located at  (-.588, -.809)  and (-.951, .309)

Here's what it kinda' looks like ..... (fig. 2).........http://www.cut-the-knot.org/pythagoras/pentagon.shtml

And here's a graph of the points......I'll leave it to you to "connect the dots".......https://www.desmos.com/calculator/rabbm7mnln

You need to expand this question 

Thanks Chis,  you make a lovely 5 point star   

Well......I'm waiting for my "Gold Star"  for that one  !!!!

Here is you Gold Star - you deserve it !!      

Here are my gold stars      

How did you end up with more stars than me when I answered the question ??????

How did you end up with a shiny red car!

You ended up with a shiny red car

I ended up with only one star  !!!!

This ain't fair....might I opine

I'm having beer.......

You're having wine  !!!!

I am not yet....    But it is an excellent idea :))

Actually that is true ---- I do have a shiny new red car !      (newer than me anyway    LOL )