1-What is the best and correct way to pass a Google Map Polygon to Azure Search.
2-If 2 Polygons are intersecting, how does this need to be handled. Thank you.
Google Map Polygons in Azure Search
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The only part of the Azure Search API where you can specify a polygon is in a filter expression. In the .NET SDK you can use the SearchParameters.Filter property to set the filter. The OData syntax reference for Azure Search has details and examples of how to format a polygon literal in the geo.intersects() function.
Azure Search only supports passing a single polygon literal to geo.intersects, so the second part of the question does not apply.