\[\boxed{\mathbf{189.}}\]
\[Р = \frac{S_{круга}}{S_{кв}} = \frac{\pi \cdot \left( \frac{a}{2} \right)^{2}}{a^{2}} = \frac{\pi a^{2}}{4a^{2}} = \frac{\pi}{4}.\]
\[Ответ:\ \frac{\pi}{4}.\]