If you want to create a zone of equidistance around a geographic feature you will need to understand buffering. Buffering is an important tool for determining the area covered within a specific location. For example, you may buffer school locations to visualize the areas that are within 1000′ feet of a school. The video below shows how to use the Analysis Tools (part of the Toolbox section) to create a buffer in ArcGIS.
The video is 1:36 minutes long.