\section*{Task 1 - 171021}

For four circles \(k_{1}, k_{2}, k_{3}, k_{4}\), it is required that they have the following two properties (1), (2):

(1) The diameter of \(k_{4}\) is \(1 \mathrm{~cm}\) larger than the diameter of \(k_{3}\), whose diameter is \(1 \mathrm{~cm}\) larger than that of \(k_{2}\), and whose diameter is \(1 \mathrm{~cm}\) larger than that of \(k_{1}\).

(2) The area of \(k_{4}\) is as large as the sum of the areas of the other three circles. Investigate for which length of the diameter of \(k_{1}\) these two requirements (1), (2) are satisfied!