how to display saved polygon on map?

[ASTAST]

How to display various shapes like polyline , polygon saved at custom db on to arcgis map.

[XanderBakker]

We will need some additional information to help you further:

• what ArcGIS software do you have access to?
• in what type of database is the data stored, in what format?

[ASTAST]

Thanks Xander for the valuable reply.
##1. what ArcGIS software do you have access to?
        We are not using any Arcgis software for the moment. Is their any need any Arcgis software to draw , if yes would          you please suggest.

##2. in what type of database is the data stored, in what format?

      Currently we are saving the data into mongodb with geojson format.

[DanPatterson_Retired]

you will need to save your data into a format that can be read by esri programs (easiest is a 'shapefile' format) and other open source programs.

you could get an ArcGIS Online account or Explorer for ArcGIS.. A quick web search will provide you with access points to the software.  

[XanderBakker]

GeoNet is a community for users of ArcGIS software. If you do not have any ArcGIS software and are not planning to use it, this place may not be the best place to post your questions. Here is a link of an old blog describing an integration of data stored in monogdb with ArcGIS: Integrate big data with the ArcGIS System | ArcGIS Blog 

As Dan mentioned, normally user will transform the data into a different format, but all depends on what you want to do with it. In ArcGIS you could use AsShape—Help | ArcGIS Desktop (some python code) or this tool in desktop JSON To Features—Help | ArcGIS Desktop to convert it. 

ArcGIS provides many applications (desktop, web and mobile, see Esri Software Products | A Complete GIS Mapping Platform ) that can do a lot more than simply draw a polygon. 

[JayantaPoddar]

Try ArcGIS Pro trial. In ArcGIS Pro, there is a Geoprocessing Tool JSON To Features (as mentioned by Xander). 

If it works for you, you could go ahead with purchasing the software. For any query related to the product pricing and licensing, you could contact your local Esri distributor. Contact Us | Esri About 

[JayantaPoddar]

It seems you could also do the conversion using Python and gdal package.

Check the following link.

Geojson to shapefile using Python - Stack Overflow 

Let us know if it works for you.