By extending the Measurement dijit, we can add a link to the map.infoWindow object, then add a click event handler to make the measurement dijit to measure the selected feature. The code for adding a link button to the infoWindow is pulled from the Geoprocessing tool link in popup example. Note: This assumes that the map is loaded with the default Popup dijit. If you’re using a mobile popup, or anything that doesn’t have an actionList class HTML item, this won’t work.
I’ve added a codepen example to show the hack in action. When you click on one of the features, it will have a “Measure me” link at the bottom. Click that, and the measurement dijit will display the area, length, or GPS point of the feature.
The correct measurement geometry type (polygon, line, or point) doesn’t need to be set. Apparently, the widget picks up the geometry type and gets the appropriate measurement. I was kinda shocked how well it worked the first time.