# What is the formula for area of a regular polygon

## How do u find the area of a regular polygon?

The formula to calculate the area of a regular polygon is,

**Area = (number of sides × length of one side × apothem)/2**, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].## What is the formula of a polygon?

Polygon Formula

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. The measure of exterior angles of a regular n-sided polygon = 360°/n.

## What is the formula for finding the area of a regular polygon Quizizz?

In the formula for calculating the area of a regular polygon,

**p = permeter, s = length of one side, and n = number of sides**. Q. A line from the center of a regular polygon at right angles to any of its sides.## How do you find the area of a regular polygon with the apothem?

## How do you find the area of a regular polygon with only the perimeter?

Know the correct formula.

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.

## What is the correct formula that can be used to find the apothem quizzes?

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 would be the first step in finding the area of the Pentagon?

Area of a regular pentagon = pa/2, where

**p = the perimeter and a = the apothem**. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.## What is the perimeter of the octagon quizlet?

A regular octagon has an apothem measuring 10 in. and a perimeter of

**66.3 in**.## What is the formula for finding the area of a regular polygon with perimeter P and apothem length A?

Area=1/2

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this:

**Area=1/2(ap)**, where a denotes the length of an apothem, and p denotes the perimeter.## What is apothem in 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 do you find area?

To find the area of a rectangle,

**multiply its height by its width**. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length^{2}or length squared.## How do you find the area of a regular Nonagon with Apothem?

## How do you find the area of a regular polygon with only the radius?

## What does Apothem mean in math?

Definition of apothem

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

## How do you find the area of a regular pentagon with the apothem?

The formula that is used to find the area of a pentagon using the apothem and side length is,

**Area = 5/2 × s × a**. Here, “s” is the side length and “a” is the apothem of the pentagon.## How do you find the area of a regular polygon with an apothem and side length?

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 do you find the perimeter of a regular polygon with the apothem?

## What is Apothem of Pentagon?

Apothem is

**the line from the center of the pentagon to a side**, intersecting the side at 90 degrees right angle.## How do you find the center of a regular pentagon?

To find the centre of a regular pentagon/hexagon :

**Bisect a side by placing the compass point on each of the points and drawing an arc with radius just over half the side length**.## What is the area of a regular polygon with 100 sides?

hectogon

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

…

Hectogon.

…

Hectogon.

Regular hectogon | |
---|---|

A regular hectogon | |

Type | Regular polygon |

Edges and vertices | 100 |

Schläfli symbol | {100}, t{50}, tt{25} |

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

## Is the Apothem equal to the side?

The

**apothem is always perpendicular to the side on which it ends**. A regular polygon has all its sides and angles equal.## What is a 200 sided polygon called?

What is the name of a polygon with…?

# | Name of the Polygon + Geometric Drawing |
---|---|

100 sides | hectogon |

200 sides | dihectogon |

300 sides | trihectogon |

400 sides | tetrahectogon |

## What is a 120 sided shape called?

Rhombicosidodecahedron

In geometry, the rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.