Oh yeah...
If you look at the last pictures, I laid the cord out as long as the Autogeek Garage and still had some I had to coil-up at both ends. This to me is actually a nice feature as I've often time taken by polishers apart and wired in my own extension cords.
On the store page for this is you scroll down you'll see this longer cord as the HD Option, here's the pertinent information.
Griot's Garage Random Orbital Polisher - HD Model +$30.00
The HD model has a heavy duty 16 gauge, 25 foot power cord hardwired into the polisher. The longer cord is more convenient than an extension cord and it is gauged to deliver maximum power to the polisher for safe, efficient operation.
Nice add-on
By the time you drive to Lowe's find the right cord, purchase the cord, take your polisher apart, remove the old cord, install the new cord you might save a few bucks but for the time and convenience this is a good add-on for the money.