UKMT Pink Kangaroo, 2023

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The figure shows two touching semicircles of radius $1$ , with parallel diameters $PQ$ and $RS$ . What is the square of the distance $PS$ ?

(A) $16$ (B) $8+4\sqrt{3}$ (C) $12$ (D) $9$ (E) $5+2\sqrt{3}$

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