Quick Answer: What Makes A Shape A Polygon?

How do you find the Apothem of a 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’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 are the rules for a polygon?

Types of PolygonsA regular polygon has all angles equal and all sides equal, otherwise it is irregular.A convex polygon has no angles pointing inwards. … If any internal angle is greater than 180° then the polygon is concave. ( … A simple polygon has only one boundary, and it doesn’t cross over itself.More items…

Is any 6 sided shape a hexagon?

In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six-sided polygon or 6-gon. … The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

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

Is circle a polygon?

A figure or shape is not considered a polygon if it has rounded sides or if its sides intersects at any place other than at the ends of each side. Therefore a circle is not a polygon and an hourglass shape is not a polygon. Instead, it is two polygons, two triangles.

What’s a 13 sided shape called?

tridecagonIn geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.

What is 12 sided shape called?

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

How many sides does a polygon have?

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

Is a rhombus a regular polygon?

A regular polygon must be equilateral (all of its sides are the same length) and equiangular (all of its angles are the same measure). A rhombus is equilateral: all of its sides are of the same length. … A rhombus can never be a regular polygon because it is not equiangular.

Why is TA circle a polygon?

Because a polygon is composed of a finite set of straight line segments, a circle does not have a finite set of these straight lines. … Per definition a circle is not a polygon, but you could “draw” infinitely many polygons that would look exactly like a circle.

What is the shape of a polygon?

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides.

How do you identify a polygon?

Polygons are classified and described by the number of sides, the kind of angles, and whether any of the sides are the same length (or congruent). Many polygons have special names.

What makes a shape a regular polygon?

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.

How do you introduce a polygon to students?

Introducing polygonsDraw a regular pentagon and an irregular pentagon on the board.Get your students to count the sides and corners.Ask if the sides are the same length on both shapes. … Emphasize that shapes with 5 sides are pentagons, but if the sides and corners are not equal it is an irregular pentagon.More items…

What is an n sided polygon?

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. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly.

What is a 9999 sided shape called?

MyriagonRegular myriagonCoxeter diagramSymmetry groupDihedral (D10000), order 2×10000Internal angle (degrees)179.964°Dual polygonSelf5 more rows

What’s a 14 sided shape called?

tetradecagonIn geometry, a tetradecagon or tetrakaidecagon or 14-gon is a fourteen-sided polygon.

Can a polygon have an open side?

But first, we need to know what polygons are: polygons are several straight segments placed together. Polygons can be classified as open or closed. A polygon is open when the segments do not all connect at the beginning and end.

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.