Question 1186235
Here's how to find the area of the shaded region:

**1. Visualize the shape:**

Imagine the three semicircles. The first has a center at (1,0) and extends from x=0 to x=2. The second has a center at (0,0) and extends from x=0 to x=1. The third has a center at (2,0) and extends from x=1 to x=2. The shaded area is the combination of all three.

**2. Recognize the components:**

Notice that the three semicircles together form a full circle with radius 1.

**3. Calculate the area:**

The area of a circle is given by the formula A = πr², where r is the radius. In this case, r = 1.

Area = π * 1² = π

Therefore, the area of the shaded region is **π** square units, which is approximately **3.1416** square units.