Wikipedia
The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionately correct distances from the center point, and that all points on the map are at the correct azimuth (direction) from the center point. A useful application for this type of projection is a polar projection which shows all meridians (lines of longitude) as straight, with distances from the pole represented correctly. The flag of the United Nations contains an example of a polar azimuthal equidistant projection.
This projection is used by the USGS in the National Atlas of the United States of America, and for large-scale mapping of Micronesia. It is useful for showing airline distances from center point of projection and for seismic and radio work.
In the case of radio, this projection allows for directional antenna aiming, especially in the case of HF communications. An operator can point the antenna, usually by an electric rotator, simply locating the target in the map and rotating the antenna to the angle indicated by the map. The map should be centered as nearly as possible to the actual antenna location.
Distances and directions to all places are true only from the center point of projection. Distances are correct between points along straight lines through the center. All other distances are incorrect. Distortion of areas and shapes increases with distance from the center point.
Some types of wide-angle camera lenses, known as " fisheye lenses" produce an azimuthal equidistant projection of the photographed scene onto the photographic medium. These lenses allow a much wider field of view than perspective lenses, which are limited to significantly less than 180 degrees.