What is the best way to determine the total length of roads within a polygon on Google Maps?

I'm in the process of creating a web application that utilizes the 'Google Map' (JavaScript API).

One of the main functionalities I want to include is the ability for users to draw polygons on the map and have the system calculate the total length of roads within that polygon.

While I've successfully implemented the feature to draw polygons on the map, I am struggling with finding a way to determine the road lengths within those polygons.

Does anyone have any suggestions or resources on how I could achieve this?

My backend is built using 'ASP.Net MVC' and I can easily send the polygon data to the server if doing calculations in C# makes it simpler.

Answer №1

When determining the lengths of a polygon's sides, it is a simpler task as they are straight lines connecting corners. To begin, establish an origin point at (0,0) then identify where each corner leads to calculate the side length using the distance formula that involves finding the square root:

On the other hand, measuring the individual roads within the polygon can be more challenging since most roads aren't perfectly straight lines. This scenario requires the use of the arch length formula:

While both formulas are straightforward to implement, the complexity lies in setting up equations for each road. Dealing with curved roads poses a greater challenge as graphing them using equations will be necessary. Depending on Google Map's API functionality, creative mathematical techniques might be required.

I would love to collaborate on coding this project with you. Do you happen to have a GitHub repository?

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