# How do you find the area of a polygon in geometry?

## How do you find the area of a polygon in geometry?

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

## How do you find the area of a polygon with coordinates?

By finding the product of a point’s x coordinate times the next point’s y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

How is the area of a polygon defined?

What is the Area of a Polygon? In geometry, the area is defined as the region occupied inside the boundary of a two-dimensional figure. Therefore, the area of a polygon is the total space or region bound by the sides of a polygon. The standard units for the measurement of the area are square meters (m2).

### How do you find the area of an irregular polygon?

To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon.

### What is the formula of 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.

How to find the area of a regular polygon?

A regular polygon is a polygon where all the sides are the same length and all the angles are equal. How to find the area of a regular polygon? The apothem of a regular polygon is a line segment from the center of the polygon to the midpoint of one of its sides.

## How to calculate the area of a rectangle?

The area of a rectangle is equal to the product of the length of its base and the length of its height. Sometimes, the height is called the “altitude”. We can also call the longer side the “length” and the shorter side the “width”. Area of a rectangle = lw. Worksheet 1, Worksheet 2, Worksheet 3 to calculate the area and perimeter of rectangles.

## How to calculate the area of a triangle?

Consider a triangle with vertices A (x 1, y 1 ), B (x 2 , y 2) and C (x 3 , y 3 ). Lets start with some constructions. The idea here is to express the area of the triangle ABC, in terms of other areas which can be calculated much easily.

How to calculate the area of a square?

The area of a square is equal to the length of one side squared. The area of a rectangle ” is equal to the product of the length of its base and the length of its height. Sometimes, the height is called the “altitude”. We can also call the longer side the “length” and the shorter side the “width”