FF sensors are 36mm X 22mm, while APS-C sensors are 22.4mm X 14.9 mm. The surface area of full-frame sensor is 2.4 X that of an APS-C.
FYI, FF is actually 36mm x 24mm. And what you quote above for APS-C is Canon's APS-C format. Sony APS-C sensors used in Sony, Nikon, Pentax and Fujifilm cameras are a little larger: about 23.5mm x 15.6mm.
There aren’t too many new APS-C sensor cameras with only 16 mp these days, though.
True, but it was just an example to illustrate a point. Context is everything.
Just another way to look at it:
My 24MP FF camera has about 6 micron pixel size.
My 24MP APS-C camera has about 4 micron pixel size.
Pixel size is what limit resolution given a perfect lens. Not image sensor size.
So my APS-C camera will outresolve my FF camera (1.5x linear and 2.25x by area). But my FF camera will capture a larger field of view given the same lens or telescope.
When using my FF camera in crop mode the pixel size is still 6 micron (the image sensor does not change by cropping away part of the image).
Plate scale is pretty close to 1 arc sec per pixel when using 4.8 micron pixels and 1000mm focal lenght. This is a linear measure and easy to scale.
To reach 1 arc sec resolution horisontally or vertical twice that focal lenght is needed (one pixel alone is unresolved). Pixels are square so if taking account for diagonal resolution, multiply the focal lenght by 2.8x.