What is a regular polygon?
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word for word from MathWorld\n\nA regular polygon is an -sided polygon in which the sides are all the same length and are symmetrically placed about a common center (i.e., the polygon is both equiangular and equilateral). Only certain regular polygons are "constructible" using the classical Greek tools of the compass and straightedge. \n\nThe terms equilateral triangle and square refer to the regular 3- and 4-polygons, respectively. The words for polygons with  sides (e.g., pentagon, hexagon, heptagon, etc.) can refer to either regular or non-regular polygons, although the terms generally refer to regular polygons in the absence of specific wording.
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a regular polygon has the same angles and sides while a irregular one has different sides and angles.
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6\nSee http://en.wikipedia.org/wiki/Tilings_of_regular_polygons
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a 20 faced polyhedron is called an \nicosahedron-the faces are equilateral\ntriangles\na 20 sided polygon is called an\nicosagon\n\ni hope that this helps
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Polygon Rotation\n\nDescription\n\nThis article demonstrates how to rotate a polygon about its center. The polygon is a square, which is drawn using the Polygon() Win32 API function. All components on the form are created at runtime.\n\nPolygonRotation.cpp\n\n#include <vcl.h>\n#pragma hdrstop\n\n#include "PolygonRotate.h"\n#include &ltmath.h>\n//---------------------------------------------------------------------------\n#pragma package(smart_init)\n#pragma resource "*.dfm"\nTForm1 *Form1;\n\nint  X_old;\nint  Y_old;\n\nPOINT Poly1a[5]  = {{100, 100}, {300, 100}, {300, 300}, {100, 300}, {100,100}};\nPOINT *pPoly1a   = Poly1a;\n\nPOINT Poly1b[5]  = {{500, 100}, {700, 100}, {700, 300}, {500, 300}, {500,100}};\nPOINT *pPoly1b   = Poly1b;\n\nPOINT Poly2a[5];\nPOINT* pPoly2a = Poly2a;\n\nPOINT Poly2b[5];\nPOINT* pPoly2b = Poly2b;\n\n\n//---------------------------------------------------------------------------\n__fastcall TForm1::TForm1(TComponent* Owner)\n        : TForm(Owner)\n{\n    Position = poScreenCenter;\n    Width = 800;\n    Height = 600;\n    Color = (TColor)0xabcdef;  // Cream\n}\n//---------------------------------------------------------------------------\n\nvoid Translate(POINT* pin, POINT* pout, long DX, long DY)\n{\n    for (int i = 0; i < 5; i++)\n    {\n        (pout+i)->x = (pin+i)->x + DX;\n        (pout+i)->y = (pin+i)->y + DY;\n    }\n}\n\nvoid Rotate(POINT* pin, POINT* pout, float Alpha, long xr, long yr,\n            int NumberOfPoints)\n{\n//Rotate Polygon about a given point P whose coordinates are (xr, yr)\n\n   // Degrees to radians\n   float const K = -0.01745329;  // 2*3.141592653/360\n\n    for (int i = 0; i < NumberOfPoints; i++)\n    {\n        (pout+i)->x = (long)(xr + (((pin+i)->x - xr) * cos(K*Alpha))\n                                - (((pin+i)->y - yr) * sin(K*Alpha)));\n\n        (pout+i)->y = (long)(yr + (((pin+i)->x - xr) * sin(K*Alpha))\n                                + (((pin+i)->y - yr) * cos(K*Alpha)));\n    }\n}\n//---------------------------------------------------------------------------\n\nvoid Translate(POINT* pin, POINT* pout, long xt, long yt,\n               int NumberOfPoints)\n{\n//Tanslate Polygon\n\n    for (int i = 0; i< NumberOfPoints; i++)\n    {\n        (pout+i)->x = (long)((pin+i)->x + xt);\n\n        (pout+i)->y = (long)((pin+i)->y + yt);\n    }\n}\n//---------------------------------------------------------------------------\n\nvoid __fastcall TForm1::FormMouseDown(TObject *Sender, TMouseButton Button,\n      TShiftState Shift, int X, int Y)\n{\n       X_old = X;\n       Y_old = Y;\n}\n//---------------------------------------------------------------------------\n\nvoid __fastcall TForm1::FormMouseMove(TObject *Sender, TShiftState Shift,\n      int X, int Y)\n{\n\n       if (X_old != X)\n       {\n           // Convert X mouse movement into polygon rotation\n           Rotate(pPoly1a, pPoly2a, X, 200, 200, 5);\n           Polygon(Canvas->Handle, pPoly2a, 5);     //Win32 API\n       }\n\n       if (Y_old != Y)\n       {\n           // Convert Y mouse movement into polygon rotation           \n           Rotate(pPoly1b, pPoly2b, Y, 600, 200, 5);\n           Polygon(Canvas->Handle, pPoly2b, 5);     //Win32 API\n       }\n\n       X_old = X;\n       Y_old = Y;\n}\n//---------------------------------------------------------------------------\n\nPolygonRotation.h\n\n#ifndef PolygonRotateH\n#define PolygonRotateH\n//---------------------------------------------------------------------------\n#include <Classes.hpp>\n#include <Controls.hpp>\n#include <StdCtrls.hpp>\n#include <Forms.hpp>\n#include <ExtCtrls.hpp>\n//---------------------------------------------------------------------------\nclass TForm1 : public TForm\n{\n__published:// IDE-managed Components\n        void __fastcall FormMouseDown(TObject *Sender, TMouseButton Button,\n          TShiftState Sh
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The area of the regular hexagon is given by:\n\nA = 2.598 s^2\n\nSo if the sides are 12 inches each;\n\nA = 2.598 (12 in)^2\n\nA = 374 in^2
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I think you can do this.  Did you know that octahedron means 8-sided figure?  and the fact that it is regular means that all faces are the same size (area).  So the answer would be 32 / 8 = ?
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false. a quadrilateral is a four sided polygon. so a square and rectangle are also quadrilaterals. a trapezoid is a four sided polygon with 2 opposite sides that are parallel to each other.
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There are two names for a seven sided shape, heptagon and septagon.  Both answers are equally correct
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as the first answer said divide it into triangles then find the area of each triangle using K(area)=(1/2)ab sin C, that is two sides of the triangle and the angle in between.  Then you simply add together the different triangles.  This is assuming the polygon is regular and every side is of equal length otherwise alot of other trig must be done to find the angle and distances.
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If the figure is a square or rhombus, p = 4L\n\nIf it is an equilateral polygon with n sides, it is p = nL
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In geometry, a rectangle is defined as a quadrilateral polygon in which all four angles are right angles.\n\nFrom this definition, it follows that a rectangle has two pairs of opposite sides of equal length; that is, a rectangle is a parallelogram. A square is a special kind of rectangle where all four sides have equal length; that is, a square is both a rectangle and a rhombus. A rectangle that is not a square is colloquially known as an oblong.\n\nOf the two opposite pairs of sides in a rectangle, the length of the longer side is called the length of the rectangle, and the length of the shorter side is called the width. The area of a rectangle is the product of its length and its width; in symbols, A = lw. For example, the area of a rectangle with a length of 5 and a width of 4 would be 20, because 5 × 4 = 20. See the picture above right.
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An *exterior* angle for a polygon is formed by extending one side of the polygon from one if its endpoints. The exterior angle and interior angle are therefore supplementary. If you extend each side of a polygon to form one exterior angle at each vertex, you get a set of exterior angles as shown in the attached diagram.\nhttp://www.geom.uiuc.edu/~dwiggins/pict09.GIF\n\nBe careful because some people have a mistaken definition of exterior angles and assume it is the full obtuse angle, but it isn't.\n\nBy theorom, the exterior angles in a convex polygon always add up to 360 degrees.  A regular 10-sided polygon is one example of a convex polygon, so its exterior angles would also add up to 360 degrees.  Because all the angles are equal in a regular polygon you would have:\n\n360 / 10\n= 36 degrees\n\nSo with a regular decagon (10-sided polygon), each exterior angle would be 36 degrees.
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Its only a cube if all the edges are the same length (and of course the sides are perpendicular).  What you're referring to is a right-angled parallelepiped.\n\nIt's a cuboid ONLY if a pair of sides are squares.  If all the sides are rectangles, it's a right-angled parallelepiped.\n\nA regular polyhedron is a polyhedron with all the sides the same.
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HEPTAGON - a seven-sided polygon.\n\nTRIANGULAR PYRAMID - a pyramid with a triangular base and 3 triangular faces.\n\nSCALENE TRIANGLE - a triangle none of whose sides have equal length. The angles don't have the same measures, too.\n\nISOSCELES TRIANGLE - a triangle 2 of whose sides have equal measures. Therefore, the angles opposite the congruent sides have equal measures also.\n\nEQUILATERAL TRIANGLE - a triangle all of whose sides have equal measures. The angles have equal measures, too.\n\nRIGHT TRIANGLE - a triangle 1 of whose angles has a measure of 90 degrees. The other 2 angles have measures that are less than 90 degrees. The side opposite the 90-degree angle is the longest side and is called the hypotenuse. The other sides are called legs.\n\nSPHERE - is shaped like a ball (round).\n\nCONE - it is a pyramid with a circular base.\n\nDECAGON - a polygon with 10 sides.\n\nDODECAGON - a polygon with 12 sides.
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click here:http://en.wikipedia.org/wiki/Polygon
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Each polygon has a different formula. Check out the source for more.