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The problem involves a circular garden with a radius of 20 yards and a surrounding path (an annular region) with a width of 6 yards. The task is to determine how many bags of sand are required to cover the path, given that each bag covers 8 square yards, and π should be approximated as 3.14.

### Steps:

1. **Find the area of the entire circle including the path** (outer radius).
   - Outer radius = 20 yards (garden radius) + 6 yards (path width) = 26 yards.
   - Area of the entire circle = π * (outer radius)² = 3.14 * (26)² = 3.14 * 676 = 2123.44 square yards.

2. **Find the area of the garden (inner circle)**.
   - Inner radius = 20 yards.
   - Area of the inner circle = π * (inner radius)² = 3.14 * (20)² = 3.14 * 400 = 1256 square yards.

3. **Find the area of the path** by subtracting the inner circle's area from the outer circle's area.
   - Area of the path = 2123.44 - 1256 = 867.44 square yards.

4. **Calculate the number of bags of sand required**.
   - Each bag covers 8 square yards.
   - Number of bags = Area of the path / 8 = 867.44 / 8 = 108.43 bags.
   
   Since the number of bags must be a whole number, round up to the next whole number:
   - Number of bags = 109.

### Final Answer:
The gardener will need **109 bags of sand**.

Would you like further clarification on any step or more details? 

Here are 5 related questions:
1. How would the result change if the path width was 8 yards instead of 6 yards?
2. Can we calculate the cost if each bag costs a certain amount of money?
3. How do we calculate the area of a sector of a circle?
4. How would the solution differ if the sand coverage per bag was in different units (e.g., square meters)?
5. How do we apply this method to calculate the area of a semicircular garden path?

**Tip:** Always check the problem for rounding rules, especially when dealing with discrete quantities like bags.

Un jardín de flores tiene forma circular. Tiene un radio de 20 yd. Un sendero en forma anular rodea el jardín. El sendero mide 6 yd de ancho. El jardinero va a cubrir el sendero con arena. Si una bolsa de arena cubre 8 yd², ¿cuántas bolsas de arena necesita el jardinero? Tomar en cuenta que la arena solo se vende en bolsas, por lo que el número de bolsas debe ser un número natural. (Utilizar el valor 3.14 para π.)

Learn how to calculate the number of sandbags needed to cover a circular garden path with a width of 6 yards. The problem involves finding the area of the annular region and determining the number of bags required based on a coverage of 8 square yards per bag. Suitable for Grades 7-9.

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