Problem of the Week

Problem 25

There is a circle on the origin with radius 1.

a) How many circles of the radius 1 could fit around the center circle, so that the outer circles touch their two adjacent circles and the center circle once?

b) What is the radius of the outer circles if you can fit four of them around the center circle, so that they touch their adjacent circles and the center circle once?

c) What is the radius of the smallest amount of circles that still fit this pattern?

Submit a solution!

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