Polygon Definition and 114 Threads

Hi, I am to find a formula for the area of a regular polygon with a side "a". I just keep getting the wrong answer: this is how i did it: if we draw a circle in a coordinate system, with radius "r". The diameter lyes on the x-axis. I draw an angle from the center. This angle is then 360/n...

I'm trying to create a computer game (a platformer); currently I'm just trying to display a Polygon on the screen. I have this class Charac, which contains a Polygon which defines its shape. If you display the bare Polygon, it'll put the shape at 0,0 on the screen. In order to move the...

I have to find a solution to this problem until next week, so perhaps someone can help: There is a constant polygon with 2007 angles. Put the natural numbers 1,2,.. 4014 on each angle and the center of each side of the polygon, so that the amount of the 3 numbers (angle + center + corner)...

Is there any algorithm to decompose a nonconvex polygon in a set of convex ones?

If the vertices of a regular polygon represent 4 townships and are all connected by a system of roads. To keep costs to a minimum, what is the ideal arrangement of roads? What if not a regular polygon but a quadrilateral, cube, regular solid? Can someone help me please :rolleyes:

Recently, due to my newfound obsession with circles and Pi, I came across an idea that may or may not hold up, and I need some feedback on it. It occurred to me that a polygon with a sufficient number of angles could closely resemble a circle. For example, let's say you have a regular...

I want to draw a polygon with 17 sides by using only the compasses and an unscaled ruler...however, many times i tried, I just managed to draw a polygon with 23 sides...any site?

Hi guy's I am havin trouble with this problem... can anyone help me out...A regular polygon of n sides is inscribed in a circle of radius r. if the area of the polygon is 2r^2 root 2 how many sides does it have

We have an n sided polygon, each side is length 2L and R is the distance from the center of the polygon to the mid-point of any side. We know, L=Rtan(pi/n). I need: "the E-field on the axis of the polygon at a point distance h above it" When n goes to infinity, we should get the same...

Find the number of diagonals that can be drawn in an n-side polygon. The answer is n(n-3)/2. I don't know how to do that.

Hi All, I'm looking for the conformal mapping (using complex functions) that maps the unit circle (or the upper half plane) into a REGULAR polygon with n vertices. I know the Schwarz-Christoffel transformation for an ARBITRARY polygon, but that doesn't help me because the expression is way...

How can one calculate the moment of inertia of a polygon? Assuming that one knows the polygon’s total area, centroid and vertices, which are connected by straight lines in a 2D system. Is it possible to avoid a difficult integral over the area/mass? Any helpful information is highly...

Hi, I am a newmember and a newbie to this forum. I am interested in Maths especially Geometry. I am trying to deal with a geometry problem of polygon and i need help. My question is - I have a polygon with n number of sides. I want to find out the area of the largest possible...

How can one calculate the moment of inertia of a polygon? Assuming that one knows the polygon’s vertexes which in turn are connected by straight lines in a 2D system? If the calculation is possible without triangulating the polygon, is it then also possible to use the same method with complex...