Question: How Do You Find The N Sided Polygon?

How do you find the N side of a polygon?

Subtract the interior angle from 180.

For example, if the interior angle was 165, subtracting it from 180 would yield 15.

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..

What is the side of a regular polygon?

Names of Regular PolygonsRegular PolygonNumber of SidesExterior AnglesEquilateral triangle3 sides3 exterior angles of 120°Square4 sides4 exterior angles of 90°Regular pentagon5 sides5 exterior angles of 72°Regular hexagon6 sides6 exterior angles of 60°2 more rows

How do u find the area of a regular polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.

How many sides does a regular polygon have if the exterior angle is 45?

8Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

Is a trapezoid a regular polygon?

A trapezoid has one pair of parallel sides. A regular polygon has congruent sides and angles. A pentagon can not be an irregular polygon.

What do you call a 12 sided shape?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.

What is N in polygon?

In this formula, the letter n stands for the number of sides, or angles, that the polygon has. sum of angles = (n – 2)180°

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 many degrees is a 6 sided shape?

The General RuleShapeSidesSum of Interior AnglesTriangle3180°Quadrilateral4360°Pentagon5540°Hexagon6720°6 more rows

What is the formula for polygon?

Let’s recap. A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

How many sides has a polygon got?

Polygons aren’t limited to the common ones we know but can get pretty complex and have as many sides as are needed. They can have 4 sides, 44 sides, or even 444 sides….Definition of a Polygon.Shape# of SidesQuadrilateral4Pentagon5Hexagon6Heptagon77 more rows•May 16, 2015

How many sides does a regular polygon have if the measure of an exterior angle is 24?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

What is a 100 sided shape called?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is a 9 sided shape called?

enneagonIn geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

How many diagonals are there in an N sided polygon?

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).

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…

How many sides does a Heptagon have?

7Heptagon/Number of edges