I have a list of geographic coordinate of vertices for a list of polygon. The number of vertices are unknown to me. I want to draw a polygon on a .Net application by entering the value of coordinates of vertices of the polygon in the application and it will return me the area perimeter and draw the polygon. How this task be accomplish using arcsde database
If you have the set of vertices, you can use the "PolygonBuilder" class to create a polygon. Next create a Graphics layer, and add a Graphic to it - set its geometry to the polygon you created and assign a symbol.
What do you mean by ArcSDE? Direct read of ArcSDE is not supported by the runtime.