To find the total shaded area in the given figure with three overlapping circles, we need to consider the areas of the individual circles and the areas of their overlaps.

1. **Area of a single circle**:
\[
\text{Area} = \pi r^2
\]
Given that the radius \( r = 10 \) cm and \( \pi = 3.14 \),
\[
\text{Area} = 3.14 \times (10)^2 = 314 \text{ cm}^2
\]

2. **Area of the three circles combined**:
\[
\text{Total area of three circles} = 3 \times 314 = 942 \text{ cm}^2
\]

3. **Area of overlaps**:
The overlaps between the circles create shared regions. For three circles, each pairwise intersection area needs to be subtracted, along with the area of the triple intersection added back once since it gets subtracted three times (once for each pair).

However, without additional information about the overlap areas, it's often safe to use an approximate formula or graphical estimation. In many cases like this, an assumption can be made that the overlaps are symmetric.

If the total overlapped area is not provided, a typical method is to calculate a simplified version or look for a standard answer format based on circle geometry.

Assuming each pairwise intersection area is approximately \( \text{Area of a circle}/3 \) (highly simplified), the area calculations can become:

4. **Final Calculation**:
For three circles with three intersections,
\[
\text{Total shaded area} \approx \text{Total area of three circles} - \text{pairwise intersections}
\]
We need the intersection area specifics, or the assumption can lead you astray. A common simplification may yield, after overlapping considerations, approximately half the area of total minus overlaps, suggesting an area around:

For a hypothetical example solution:
- Assuming \(\text{Common overlap}\) \( \approx \) 94.2 cm² where three overlap rings exist suggests:
Thus for shading:

\[
\text{Approx. shaded area} \approx 942 \text{cm}² (total) - 47.1 cm² (each ring overlap) = 847.8 cm²
\]

To conclude, you can yield approximations as correct methods, center placements will influence the precise overlapping areas. For exact values, we'd recommend further geometric or calculus integration methods. But for basics,
\[
\text{Final shaded area will likely fall near} \approx : 847.8\, \text{to}\, 942 \text{ cm}².
\]
Revisit by geometric specifics for rectangular knowledge for further refining!