Although this projection is a nice compromise between conformal and equal-area projections, its main claim to fame comes from another property it has, which allows maps like this to be drawn:
Since the azimuthal equidistant projection shows every point on the globe at its correct distance, and in its correct direction, from the center of the projection, maps in this projection centered on one's own location, like the map above, centered on Edmonton, Alberta, are very useful to people engaged in long-distance radio communications.
This map, showing the northern and southern hemispheres, illustrates the simple plan underlying this projection:
As this map, centred at 40 degrees north latitude, and 20 degrees west longitude, shows,
the azimuthal equidistant projection can indeed be used to make reasonable maps of extended areas of the world.