I have enjoyed reading your solutions to my shotgun target problems, so I
have another one for you.
I'm constructing another target for long-range shooting. The target will
have a six-inch diameter black bull's-eye, and concentric circles with
diameters of 12", 18", and 24" respectively, to form alternating white and
black bands. There is also a 24" square circumscribed about the
outermost circle. Got it? Okay.
What is the area of the bull's-eye and what is the area of each of the white
and black bands making up the target? (There are four areas to determine
- the bull, two white bands, and one black band.)
While we're at it, what's the area between the 24" outer circle and the
24" square?
What do you notice about the relation between the area of each section
and the band just outside it?
EXTRA: Now that you're warmed up, can you identify WHY the relation
in the last question exists? (You might want to try some similar setups
with targets of different sizes to see if that helps.)