1. **State the problem:** We need to find the area of the shaded sector XPY of a circle with radius 5 cm and central angle 60°. 2. **Formula for the area of a sector:** The area $A$ of a sector with radius $r$ and central angle $\theta$ (in degrees) is given by: $$ A = \frac{\theta}{360} \times \pi r^2 $$ 3. **Substitute the known values:** Here, $r = 5$ cm and $\theta = 60^\circ$. $$ A = \frac{60}{360} \times \pi \times 5^2 $$ 4. **Simplify the fraction:** $$ A = \frac{1}{6} \times \pi \times 25 $$ 5. **Calculate the area:** $$ A = \frac{25\pi}{6} $$ 6. **Approximate the value:** Using $\pi \approx 3.1416$, $$ A \approx \frac{25 \times 3.1416}{6} = \frac{78.54}{6} = 13.09 $$ 7. **Final answer:** The area of the shaded sector XPY is approximately **13.09 cm²**.