How To Find Area Of Polygon By Drawing On Grid With Examples
In Google maps, a polygon is an object drawn on the google map to represent an area surrounded by a closed path (or loop). The polygons are similar to polyline objects in that they consist of a series of coordinates in an ordered sequence. Polygons are drawn with a stroke and fill. You can define custom colours, weight, and opacities for the edge of the polygon (the stroke) and similarly for the enclosed area (the fill).
Area Polygon Drawing can best describe the complex shapes including:
The intersection of one or more than one area.
Areas with holes in them.
A single polygon defines different noninfected areas.
It is feasible to use a polygon with multiple paths to define a complex shape.
Read the article below to know the steps to draw a polygon in Google Map.
How to Draw a Polygon on Google Map?
You can draw a polygon in a Google map to show the area you are interested in. To draw, zoom in, or zoom out of the map as you need to best include the area of your interest. Select Add polygon from the toolbar at the top of the map. A new dialogue box will appear. As the dialogue box will appear on the screen, you will find 5 tabs with 5 different tasks.
The first tab is Description, where you can describe your area or include any image or link associated with it. The second tab is colour, where you can change the width, colour, and opacity of the lines you are drawing. The third tab is the View tab, which will show you the latitude and the longitude of the area you have drawn by clicking on the Snapshot Current View button in the right corner of the screen. The fifth tab is the Measurement Tab, which will give you the exact perimeter and area of a polygon.
How to Draw a Polygon in Google Earth?
Following are the steps to draw a polygon in Google Earth:
Click on Add Polygon (CTRL + Shift + G), from the toolbar at the top.
The new polygon dialogue box will appear on the screen, and the cursor changes to a square drawing tool. Enter the properties of your drawing just as you would do for any other type of data. This properties tab enables you to change the name and style colour for the polygon from the default white to better visualize the shape you are looking for.
Draw a Polygon: Click on the map to start drawing a polygon using the following freehold method.
Free - Form Shape - Click once and drag. The cursor changes to an up-arrow to represent that you are using free-form mode. The outline of the shape follows the path of your cursor, as you drag the cursor around the 3-D viewer. If you are constructing a polygon, a shape expands from the path of your cursor, always joining the beginning and ending points.
Regular Shape - Just click and release. Move the mouse to the new point and click to include additional points.
You can adjust the dimension of the polygon by using the Measurement Tab. The measurement will appear in a dialogue box as you draw. You can also view measurements for your shape with the help of the Drawing Tool.
You can even edit your saved drawing by selecting the Drawing from the Places Dialog box, clicking the left mouse button and select properties.
How to Make a Polygon in Google Earth?
Following are the steps on how to make a polygon in Google Earth:
A polygon is a two - dimensional shape in Google Earth. The polygon icon looks like this (Image will be uploaded soon).
Click on Polygon Icon - You can see a familiar dialogue box appears on the screen as shown below.
Similar to the path and placement tab, you can add a description and title, and observe some additional information about the polygon shape here. One of the best things that can be done is that you can change the colour and width of the border, and the colour and opacity of the fill.
To make a polygon, simply start left clicking around the polygon. Click on the left mouse button to add points and the right mouse button to remove points.
Fill colour in a 'Style colour Tab' and ‘Change the Line’ - You can change many properties of a polygon including the opacity.
You can even give it a 3D look to the polygon by clicking on the Altitude Tab, and then changing the mode to 'relative', and putting a value. The option 'Extend Sides To Ground' will change the polygon from the floating plain to a box of sorts.
FAQs on Area Of Polygon By Drawing With Step By Step Method
1. What is the area of a polygon by drawing method?
The area of a polygon by drawing method is found by dividing the polygon into simpler shapes like triangles or rectangles and adding their areas.
- Draw diagonals or auxiliary lines inside the polygon.
- Break it into known shapes (triangles, rectangles, squares).
- Find the area of each shape using standard formulas.
- Add all areas to get the total polygon area.
2. How do you calculate the area of an irregular polygon by drawing?
To calculate the area of an irregular polygon by drawing, divide it into triangles or rectangles and sum their areas.
- Draw diagonals from one vertex to form triangles.
- Use Area of triangle = ½ × base × height.
- For rectangles, use Area = length × breadth.
- Add all calculated areas.
3. What is the formula for the area of a regular polygon?
The formula for the area of a regular polygon is Area = (1/2) × Perimeter × Apothem.
- Perimeter = number of sides × side length.
- Apothem = perpendicular distance from center to a side.
4. How do you find the area of a polygon on graph paper?
To find the area of a polygon on graph paper, count the full and partial squares inside the figure.
- Count all complete unit squares.
- Combine partial squares to form whole ones.
- Total area = number of unit squares.
5. How do you divide a polygon into triangles to find its area?
A polygon can be divided into triangles by drawing diagonals from one vertex to all non-adjacent vertices.
- An n-sided polygon forms (n − 2) triangles.
- Find each triangle’s area using ½ × base × height.
- Add all triangle areas.
6. Can you give an example of finding the area of a polygon by drawing?
Yes, for example, divide a pentagon into triangles and add their areas.
- Suppose a pentagon is divided into 3 triangles.
- If each triangle has area 10 cm², 12 cm², and 8 cm².
- Total area = 10 + 12 + 8 = 30 cm².
7. Why is drawing diagonals helpful in finding the area of a polygon?
Drawing diagonals helps because it converts a complex polygon into simpler triangles with known area formulas.
- Each triangle’s area is easy to calculate.
- The sum of triangle areas equals the polygon’s total area.
- Works for convex polygons.
8. What is the area of a polygon with given coordinates?
The area of a polygon with given coordinates can be found using the Shoelace Formula.
- Arrange coordinates in order.
- Apply: Area = ½ |(x₁y₂ + x₂y₃ + ... + xₙy₁) − (y₁x₂ + y₂x₃ + ... + yₙx₁)|.
9. What is the difference between regular and irregular polygon area calculation?
The difference is that regular polygons use a direct formula, while irregular polygons require division into simpler shapes.
- Regular polygon: Use (1/2) × perimeter × apothem.
- Irregular polygon: Divide into triangles or rectangles and add areas.
10. What are common mistakes when finding the area of a polygon by drawing?
Common mistakes include incorrect division of shapes and wrong formula usage.
- Not drawing diagonals properly.
- Using incorrect base or height in triangles.
- Forgetting to add all partial areas.
- Mixing units (cm and m).
