An exterior angle is created by extending one side and measuring the angle between that extension and an adjacent side. (or, the length of that line). but… A rhombus doesn’t have angles that are all the same size. The sides are the straight line segments that make up the polygon. And there are 2 such triangles per side, or 2n for the whole polygon: Area of Polygon = n × Apothem 2 × tan(π/n) When we don't know the Apothem, we can use the same formula but re-worked for Radius or for Side: Area of Polygon = ½ × n × Radius 2 × sin(2 × π/n) Area of Polygon … Exterior angles of every simple polygon add up to 360 °, because a trip around the polygon completes a rotation, or return to your starting place. The sides of a regular polygon are the line segments that make it up. Apothem (inradius) The apothem of a regular polygon is the line from the center to the midpoint of a side. If it is a Regular Polygon... Name Sides Shape Interior Angle; Triangle (or Trigon) 3: 60° Quadrilateral (or Tetragon) 4: 90° Pentagon: 5: 108° Hexagon: 6: 120° Heptagon (or Septagon) 7: 128.571° Octagon: 8: 135° Nonagon (or Enneagon) 9: 140° Decagon: 10: 144° Hendecagon (or Undecagon) 11: 147.273° Dodecagon: 12: 150° Triskaidecagon : 13 : 152.308° Tetrakaidecagon : 14 : 154.286° Pentadecagon: 15 Individual polygons are named (and sometimes classified) according to the number of sides, … For example, a six-sided polygon is a hexagon, and a three-sided one is a triangle. The length of the sides will change. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. Regular polygons have sides that are all equal - just like a rhombus! Let’s investigate the regular pentagon seen above. Regular Polygon Angles Exterior Angles of a Regular Polygon. The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, … A polygon by definition is any geometric shape that is enclosed by a number of straight sides, and a polygon is considered regular if each side is equal in length. A regular polygon is both equilateral and equiangular. It is also the radius of the incircle. A polygon is called a REGULAR polygon when all of its sides are of the same length and all of its angles are of the same measure. Polygons are classified by their number of sides.
See Sides of a Regular Polygon for more information and formulas used to calculate their length.
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