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# Area Of Polygon In Coordinate Geometry

Polygon can be defined as packed or closed shape made by joining more than two line segments end to end. The sides of a Polygon never bisect each other. The Point where two lines meet is known as vertex of polygon.
Now we will see how to find the Area of Polygon in coordinate Geometry?
For finding the area of polygon we have to follow some steps which are given below:
Step 1: First we take two axis in a plane which is named as ‘x’ and y- axis.
Step 2: Then we draw a polygon on the plane.
Step 3: Then we find the coordinates of given polygon.
Step 4: If we have all the coordinates of a polygon then we can easily find the area of polygon by putting all the coordinates in formula shown below.
The formula for finding the area of polygon by using the coordinates:

Now we see how to find the area of polygon by using the above steps:
A polygon is given then we can find the area of polygon by putting the values in the formula:

So we can write it as:
X  Y
P  5  9
Q  8  7
R  10 3
S   3  3
P   5  9

Multiply 5 by 9, we get 45 and multiply 8 by 9 we get 72;
5 * 9 = 45;
8 * 9 = 72;
So we can write it as:
45 – 72 = -27;
When we multiply 8 by 3 we get 24 and multiply 10 by 7 we get 70;
8 * 3 = 24;
10 * 7 = 70;
So we can write it as:
24 – 70 = -46;
When we multiply 10 by 3 we get 30 and multiply 3 by 3 we get 9;
10 * 3 = 30;
3 * 3 = 9;
So we can write it as:
30 – 9 = 21;
When we multiply 3 by 9 we get 27 and multiply 5 by 3 we get 15;
3 * 9 = 27;
5 * 3 = 15;
So we can write it as:
27 – 15 = 12;
Now add all the value and then divide the number by 2 we get the area of polygon.
So the sum of all the values is:
=> -27 – 46 + 21 + 12;
=> -73 + 33;
=> -40;
Then the area of polygon is:
A = | -40/ 2|
A = 20 inch2

## Area of a Regular Polygon

A Polygon is a closed figure with all sides connected end to end. A polygon is a plane figure which is bounded by an enclosed path composite of a finite sequence of a straight line segments. These segments are the sides and the Point where they meet is polygon vertex or the corners.

There are many types of polygon and one of them is Regular Polygon. A regul...Read More

## Area Of Polygun Given the length of a side

A Polygon is a geometrical figure on a plane formed with straight line segments.  Let us see how we can use the length of side to find other sides and all other perimeters of the polygons.
Let us see some of these geometrical figure and shapes.

1.    Area of polygon

To find the area of polygon in Coordinate Plane we use the following f...Read More

## Algorithm to Find the Area of Polygon

Polygon can be defined as a shape which is comprised of several line segments which are connected together to form a closed figure. In other words, a Polygon is limited by a closed path. Line segments in a polygon can be of different or same length. The line segments are known as edges or sides of polygon. Verticex is the Point where two edges or si...Read More