# Find The Area Of A Shape In Form Of A Star

mathelord
Is It Possible For One To Find The Area Of A Shape In Form Of A Star,i Am Noi Good At Latex Else I Would Have Drawn It,shapes Like The Star,with More Than 5 Pointings

AKG
Homework Helper
Well why would it be impossible? The approach I would try would be to break an n-pointed star into 2n triangles. Choose some point and call it the center (the choice should ensure that your figure is star convex about the point). Each of your triangles should have this center as a vertex. Every point should be a vertex of two different triangles, so every line segement which joins a point to the center is an arm shared by two triangles. The sum of the areas of the triangles is the area of the star.

EDIT: Rather than using $\LaTeX$, you could (and this would work better anyways, I think) draw a picture in Paint and upload it as a .jpg file.

mathelord
akg please give it a try and let me know,what will the base of the triangle be,because you cant form a value for it.

AKG