# Map Projections in ArcGIS Pro

The Earth is a **spheroid** - it is round like a ball or sphere but
flattened by slightly by the centrifugal force of rotation. The Earth has a
circumference of around 24,900 miles, but is around 27 miles wider than it is
tall.

The Earth exists in three-dimensions but, other than globes, most
representations of the earth, such as printed maps or web maps, are two
dimensional. A **projection** is a set of mathematical transformations used
to represent the three-dimensional world in two dimensions.

This tutorial introduces changing and getting information about projections in ArcGIS Pro.

## Setting and Changing Projections in ArcGIS Pro

Projections can be changed on an ArcGIS Pro map by right-clicking
on the layer in the *Contents* pane and selecting
*Properties -> Coordinate Systems*.

The dialog box will show you the current projection and allow you to search or browse for a new projection.

The projections dialog gives you two sets of coordinate systems to choose from:

**Geographic coordinate systems**indicate where features are on the surface of the planet.**Projected coordinate systems**indicate where features are on maps.

The video below demonstrates how to change a world map from its existing projection (Web Mercator) to the common Robinson projection:

## Getting Projection Information in ArcGIS Pro

While the software gives you the option to display a map in different geographic coordinate systems, you will normally only create maps using projected coordinate systems. The geographic coordinate system used to create the projected coordinate system is implied when you choose a projected coordinate system.

You can find the geographic coordinate system used in a projection
by selecting the *Details* option in the ArcGIS Pro coordinate systems dialog.
For example, this video shows that the Robinson world projection used in
ArcGIS Online uses the WGS 1984 datum:

## Grids and Graticules in Map Layout

A common feature of maps is a grid of lines that show map coordinates.

A **graticule** is a grid of lines that shows intervals of latitude and longitude on a map.

The video below shows how to add a graticule to a world map. Note a distinctive characteristic of this Mercator projection is that lines of latitude get further apart as you move away from the equator.

By contrast, in ArcGIS Pro terms, a **measured grid** is a grid of lines that
displays intervals in the projected coordinate system used in the map.

The video below shows how to add a measured grid to a map layout for a map displayed in the Illinois East State Plane Coordinate System.

## Euclidian Distance with Planar Coordinates

The State Plane Coordinate Systems treat the earth as a flat plane (hence, the name) and can therefore be conveniently used for calculating distance.

The example below uses two points in Chicago: The Sears Tower (41.8789, -87.6358) and the Cloud Gate sculpture in Millennium Park (41.882686, -87.623325). Chicago is in the Illinois East State Plane Coordinate System zone, and the WKID for the coordinate system in US feet is EPSG 3435.

The *easting* in a State Plane projection is the position east-west (similar to longitude),
and the *northing* is the location north-south (similar to latitude). Because
this is a US Feet State Plane variant, those numbers are in feet.

Using ArcGIS Pro as shown in the video, you can change the map projection to State Plane and then get the northing and easting for each point. By subtracting to get the east-west distance and the north-south distance between the points, you get the two sides of a triangle. You can then use the Pythagorean theorem to calculate the Euclidean distance (hypotenuse) between the two points in feet.

Note that you cannot do this with latitudes and longitudes because those are angular measurements, and the ground distance represented by a degree is different on different parts of the planet.

Sears Tower: 1174208 East, 1899233 North Cloud Gate: 1177593 East, 1900640 North East/west distance = 1177593 - 1174208 = 3385 feet apart east/west North/south distance = 1900640 - 1899233 = 1407 feet apart north/south square_root(3385^2 + 1407^2) = square_root(11458225 + 1979649) = 3666 feet