MathNet 2002 — Part 01 Question 162

A capra (indicated in figure with $\Pi^{\alpha}$) is linked to a point $A$ with a cord length of 6 meters as shown in the figure (view from above). The $AB$ segment presents a 4 meter long stanza so that the capra cannot jump. The quadrato represents a building 2 meters wide inside which the capra cannot enter (and which cannot exit). I will determine the largest area (in $\mathrm{m}^{2}$) that the capra can brucare.