I appreciate the POLITE approach, sir. Thank you.
Of course, I took the diameter (DUH), not the radius, as I should have. Your figures are correct. The 11" prop has 94.9 sq.in. of swept area, and the 10" prop has 78.5 sq.in. This is a decrease of 17.3%. Not the 20% I first quoted, but still significant.
GIVEN THE SAME RPM, Diameter = thrust, pitch = speed. A small diameter, high pitch prop acts like high gear in a car. Lots of speed, not much pull. If the plane is too draggy or heavy, it simply won't fly well, if at all - it can't accelerate against the drag and can't lift against gravity. A 5#, slick model pylon racer uses this type of prop, and takes almost a full lap to accelerate to top speed.
A large diameter, low pitch prop acts like low gear in a car. Limited top speed, but lots of pulling power. It can accelerate a draggy plane to flying speed. A 7#, draggy model Piper Cub uses this prop, and it has enough pull to get it up to flying speed before the end of a 1 mile runway. It also allows full throttle engine speed flying while still limiting top speed.
My 1/4 scale Fokker Dr.1 runs an 18-6 on a Zenoah G-23. I'd love to use a
20-6, but the engine just won't turn it fast enough to fly much above stall. It flys well as is, and in a very scale-like manner. Now, put a 16-8 or 16-6 on it and watch it wallow around, if it even gets airborne.It's true that most of our planes are overpowered. However, when you scale down areas and volumes, you don't scale weight and power the same way. If you did, the above-mentioned Dr.1 would weigh almost 250#, have a 25 horse engine, and fly at a top speed of 25 mph!!! Of course, the density of air, gravity, and drag coefficients don't change when the size of the plane does. I prefer to "overpower" my planes, and use a larger, lower pitch prop to control top speed.
The proof is in the flying. Dr.1 Driver "There's a Hun in the sun!"