A flower garden is shaped like a circle. Its radius is $19 \mathrm{yd}$. A ring-shaped path goes around the garden. The width of the path is $6 \mathrm{yd}$. The gardener is going to cover the path with sand. If one bag of sand can cover $8 \mathrm{yd}^{2}$, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for $\pi$.) bags of sand

Step 1 ：Calculate the total area of the garden including the path. This is a circle with a radius of 25 yards. Using the formula for the area of a circle, \(\pi r^{2}\), we substitute 25 for r and 3.14 for \(\pi\) to get the total area.

Step 2 ：Calculate the area of the garden without the path. This is a circle with a radius of 19 yards. We substitute 19 for r in the formula \(\pi r^{2}\) to get this area.

Step 3 ：Find the area of the path by subtracting the garden area from the total area.

Step 4 ：Divide the path area by 8 to find out how many bags of sand are needed. Since we can't have a fraction of a bag, we round up to the nearest whole number.

Step 5 ：Final Answer: The gardener needs \(\boxed{104}\) bags of sand.