10) Determine the area of the dotted figure, knowing that each of the arcs (a semicircle and two quarter-circles) is obtained from a circle of radius $1 \mathrm{~cm}$.
(A) $\pi / 2 \mathrm{~cm}^{2}$
(B) $2 \mathrm{~cm}^{2}$
(C) $\pi \mathrm{~cm}^{2}$
(D) $4 \mathrm{~cm}^{2}$
(E) $2 \pi \mathrm{~cm}^{2}$.
10) The answer is (B)

It is possible to draw two segments $A B$ and $C D$ perpendicular to each other (see figure) and translate the two quarter-circles $A O C$ and $C O B$ to form a rectangle with a base of $2 \mathrm{~cm}$ and a height of $1 \mathrm{~cm}$.

![](https://cdn.mathpix.com/cropped/2024_04_17_df6134ed1e07189e6736g-2.jpg?height=334&width=329&top_left_y=770&top_left_x=1526)