Question: What Is An N Sided Regular Polygon?

How do you find the Apothem of a regular polygon?

More Formulas We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon.

This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a.

Here, the apothem has a length of 4.817 units..

How many degrees does an N sided polygon have?

The General RuleShapeSidesSum of Interior AnglesOctagon81080°Nonagon91260°……..Any Polygonn(n−2) × 180°6 more rows

What is the Apothem of a regular polygon?

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word “apothem” can also refer to the length of that line segment.

How many vertices does an N sided polygon have?

It also has three sides and three vertices. A triangle is always coplanar, which is not true of many of the other polygons. A regular polygon is a polygon with all angles and all sides congruent, or equal. Here are some regular polygons.

How do you find the N sided polygon?

Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

How many sides has a regular polygon?

Names of Regular PolygonsRegular PolygonNumber of SidesInterior AnglesEquilateral triangle3 sides3 interior angles of 60°Square4 sides4 interior angles of 90°Regular pentagon5 sides5 interior angles of 108°Regular hexagon6 sides6 interior angles of 120°2 more rows

Is a circle a polygon Why?

A polygon is a closed plane figure with three or more sides that are all straight. A circle is not a polygon as it does not have straight sides. …

What’s a 6 sided shape called?

hexagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

How do you find the interior angle of an N sided polygon?

Interior and exterior angle formulas:The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.The measure of each interior angle of an equiangular n-gon is.If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

What is N sided polygon?

The interior of a solid polygon is sometimes called its body. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself.

How many diagonals does an N sided polygon have?

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).

Is Apothem the same as radius?

The radius of a regular polygon reaches from its center to any vertex, bisecting the angle at that vertex. The apothem reaches from the center to the midpoint of any side. It always bisects the side and is always perpendicular to it.

What is the formula for regular polygon?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

How many sides does an sided polygon have?

2D ShapesTriangle – 3 SidesSquare – 4 SidesPentagon – 5 SidesHexagon – 6 sidesHeptagon – 7 SidesOctagon – 8 SidesNonagon – 9 SidesDecagon – 10 SidesMore …