Question 15
Four circles each of radius $x$ and a square are arranged within a circle of radius 8 as shown. What is the range of $x$? Original choices: (A) $0\lt x\lt 4$; (B) $0\lt x\lt 8(\sqrt2+1)$; (C) $4-2\sqrt2\lt x\lt 4$; (D) $4-2\sqrt2\lt x\lt 8(\sqrt2+1)$; (E) $4-2\sqrt2\lt x\lt 4(\sqrt2+1)$.
Source-geometry caution: the printed options/key and the geometric arrangement require checking, and the source does not state all contact/overlap conventions. For this self-study item, keep the original choices, state your interpretation and justify the resulting bounds; assessment is manual.
Source-geometry caution: the printed options/key and the geometric arrangement require checking, and the source does not state all contact/overlap conventions. For this self-study item, keep the original choices, state your interpretation and justify the resulting bounds; assessment is manual.