Question 2
Three concentric circular tracks, denoted by A, B and C, are shown below. The diameter of the innermost circle is 1 unit, and the width of each track is also 1 unit. Circles with diameter 1 unit are put in the tracks so that, within each track, no circles overlap. The figure shows two non-overlapping circles in each track as an example.
(a) What is the greatest total number of circles that can fill the three tracks A, B and C?
(b) If there are six concentric circular tracks, what is the greatest number of circles that can fill the outermost track?
(a) What is the greatest total number of circles that can fill the three tracks A, B and C?
(b) If there are six concentric circular tracks, what is the greatest number of circles that can fill the outermost track?