In plastic arts exhibitions, it is common for statues to be displayed on rotating platforms. A safety measure is that the base of the sculpture is fully supported on the platform. To provide the appropriate equipment, in the case of a square base that will be fixed on a circular platform, the technical assistant of the event must estimate the measure $R$ of the appropriate radius for the platform in terms of the measure $L$ of the side of the statue's base. What relationship between $R$ and $L$ should the technical assistant present so that the safety requirement is met? (A) $\mathrm{R} \geq L/\sqrt{2}$ (B) $\mathrm{R} \geq 2L/\pi$ (C) $\mathrm{R} \geq L/\sqrt{\pi}$ (D) $\mathrm{R} \geq L/2$ (E) $\mathrm{R} \geq L/(2\sqrt{2})$
In plastic arts exhibitions, it is common for statues to be displayed on rotating platforms. A safety measure is that the base of the sculpture is fully supported on the platform. To provide the appropriate equipment, in the case of a square base that will be fixed on a circular platform, the technical assistant of the event must estimate the measure $R$ of the appropriate radius for the platform in terms of the measure $L$ of the side of the statue's base.
What relationship between $R$ and $L$ should the technical assistant present so that the safety requirement is met?\\
(A) $\mathrm{R} \geq L/\sqrt{2}$\\
(B) $\mathrm{R} \geq 2L/\pi$\\
(C) $\mathrm{R} \geq L/\sqrt{\pi}$\\
(D) $\mathrm{R} \geq L/2$\\
(E) $\mathrm{R} \geq L/(2\sqrt{2})$