Hi John,
Thanks for posting your question, I can answer this. Since version 11, Surfer has a Measure tool that allows you to measure distances and planar areas on screen with a few clicks. The tool works well and is easy to use if your maps have coordinate systems assigned to them and the system is not spherical (Lat/Lon). The measurement display will be in the units that are native to the projection/coordinate system you have your maps set to. For example, if your maps are in UTM meters, then the results will be displayed in meters. This can be changed as well. If your maps are in Lat/Lon the results will be in decimal degrees. Please note that if you maps are in a defined projection/coordinate system, you can change the system quickly and easily.
Here is an example:
Let's say I want to measure the area of a park in the attached map, I would click the
Map | Measure command. The mouse pointer will change to a cross hair and I can simply click around the park boundary to get distance and planar area.

Here is a link to Surfer 13's online Help (
http://surferhelp.goldensoftware.com/surfer.htm#t=command%2Fmap%2FMeasure.htm%3Frhhlterm%3Dmeasure%26rhsyns%3D%2520), where this topic is discussed in case anyone is interested in reading more about the Measure tool. My recommendation would be to download and install the free demo version of Surfer 13 so you can fully evaluate the tool. You can download the demo here:
http://www.goldensoftware.com/demo-downloads. If it looks good, upgrades are $279 USD.
I hope this helps!
Drew