Given a unit disk, find the smallest radius r(n) required for n equal disks to completely cover the unit disk. The first few such values are r(1) | = | 1 r(2) | = | 1 r(3) | = | 1/2 sqrt(3) r(4) | = | 1/2 sqrt(2) r(5) | = | 0.609383... r(6) | ≈ | 0.555 r(7) | = | 1/2 r(8) | ≈ | 0.437 r(9) | ≈ | 0.422 r(10) | ≈ | 0.398.
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