What Is The Formula For Regular Polygon?

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….

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.

How many sides are in 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

What is an sided polygon?

The segments of a polygonal circuit are called its edges or sides, and the points where two edges meet are the polygon’s vertices (singular: vertex) or corners. 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.

What is a 4 sided shape called?

quadrilateralPolygon. A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

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.

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.

What is the radius of a regular polygon?

The distance from the center to a vertex (corner point) of a regular polygon. It is the radius of the circle (called the circumcircle) that passes through all vertices (corner points) of the regular polygon.

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.

What is a regular polygon in math?

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.

What is the difference between polygon and regular polygon?

Answer and Explanation: A polygon has three or more sides. If all sides are the same length, the polygon and all the angles are convex, it is termed regular. If not, then it is an irregular polygon. An example of a regular octagon is a STOP sign.

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.

What is not a regular polygon?

An irregular polygon is any polygon that is not a regular polygon. … It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.

What is a 1 sided shape called?

henagon monogonList of n-gons by Greek numerical prefixesSidesNames1henagonmonogon2digonbigon3trigontriangle4tetragonquadrilateral7 more rows