Zadania z pierwszej klasy liceum

[monis_1992]

Prosze o pomoc przy rozwiązaniu zadania.
Z wierzchołków kwadratu o boku a, jako ze środków zakreślono 4 okręgi o promieniu a/2. Znajdź promienie okręgow stycznych do tych czterech okręgów jednoczesnie.

[silicium2002]

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Idą z tego
Mały okrąg: \(\displaystyle{ 2r + 2 \frac{a}{2} = a \sqrt{2}}\)
Duży okrąg: \(\displaystyle{ 2R + 2 \frac{a}{2} + a \sqrt{2}}\)

[monis_1992]

Dziękuje za pomoc;)