What is the formula for area of a regular polygon?

Publish date: 2023-01-12

How to Find the Area of Regular Polygons? The area of a regular polygon can be found using the formula, Area = (number of sides × length of one side × apothem)/2.

Subsequently, What is apothem of hexagon?

A hexagon is a six-sided polygon. When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a line segment from the center of a polygon to the middle point of any one side.

Also, What is the formula of a polygon?

Polygon Formula

The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

Secondly, What is the polygon shape? A polygon is a flat two-dimensional shape with straight sides that are fully closed. The sides must be straight, not curved. However, polygons can have any number of sides. The word polygon comes from the Greek “polugonos”. … This is because a polygon has many different angles and corners within its shape.

How do you find the perimeter and area of a polygon?

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let’s use a hexagon (6 sides) with a side (s) length of 10.

16 Related Questions Answers Found

Is apothem same as radius?

An apothem of a regular polygon will always be a radius of the inscribed circle. It is also the minimum distance between any side of the polygon and its center.

What does apothem mean in math?

: the perpendicular from the center of a regular polygon to one of the sides.

What is the area and perimeter of hexagon?

Use the Formula to Find the Area of a Hexagon with a Given Apothem: The perimeter of the hexagon formula is simply: Area = 1/2 x perimeter x apothem.

What’s a 12 sided polygon?

A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.

What is polygon class9?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. The line segments of a polygon are called sides or edges. … An example of a polygon is a triangle with three sides.

What is a polygon in math?

Polygon, In geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).

What’s a 13 sided shape called?

A 13-sided polygon, sometimes also called the triskaidecagon.

What is polygon example?

The most common examples of polygons are the triangle, the rectangle, and the square. In simple words, polygons are plain figures or shapes made up of line segments only. Note: Circles, three-dimensional objects, any shapes that include curves, and any shapes that aren’t closed are not polygons.

What is a six sided polygon?

In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “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 are 4 sided polygons?

Definition: A quadrilateral is a polygon with 4 sides.

What is a 15 sided shape called?

In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon.

Is radius equal to side length?

But in geometry, we also use the term ‘radius’ for regular polygons – those where all the sides and interior angles are equal. The radius of a regular polygon is the distance from its center to any one of its vertices. From symmetry, this distance is equal for all vertices.

What is polygon radius?

more … 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.

How do you find the radius?

How to Find the Radius of a Circle?

When the diameter is known, the formula for the radius of a circle is: Radius = Diameter / 2.

When the circumference is known, the formula for the radius is: Radius = Circumference / 2π

When the area is known, the formula for the radius is: Radius = ⎷(Area of the circle / π)

How many sides does a polygon have?

Other Types of Polygons

Polygon	Number of Sides
Triangle	3
Quadrilateral	4
Pentagon	5
Hexagon	6

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Dec 1, 2019

What is Apothem circle?

Given a circle, the apothem is the perpendicular distance from the midpoint of a chord to the circle’s center. It is also equal to the radius minus the sagitta , For a regular polygon, the apothem simply is the distance from the center to a side, i.e., the inradius. of the polygon.

What is the perimeter formula?

Perimeter, Area, and Volume

Table 1 . Perimeter Formulas
Shape	Formula	Variables
Square	P= 4s	s is the length of the side of the square.
Rectangle	P=2L+2W	L and W are the lengths of the rectangle’s sides (length and width).
Triangle	a+b+c	a,b , and c are the side lengths.

What is angle of hexagon?

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

What is the polygon formula?