The problem asks for the area of a round flower bed with a circumference (the rubber edging) of 25.12 feet.

Steps:

1. Circumference of a circle formula: $C = 2 \pi r$ Where $C$ is the circumference, and $r$ is the radius.

2. Find the radius: $r = \frac{C}{2 \pi} = \frac{25.12}{2 \pi} \approx \frac{25.12}{6.2832} \approx 4.0 \, \text{feet}$

3. Find the area of the circle: $A = \pi r^2 = \pi \times (4.0)^2 \approx 3.1416 \times 16 = 50.27 \, \text{square feet}$

So, the area that Jose needs to cover with mulch is approximately 50.27 square feet.

Would you like further details, or have any questions?

Here are 5 related questions to practice:

1. If the circumference was doubled, what would the new area be?
2. How would the area change if the radius was reduced by half?
3. What is the relationship between the circumference and the area of a circle?
4. How many square feet would you need for a circle with a circumference of 10 feet?
5. If Jose increased the radius by 2 feet, what would the new area be?

Tip: The area of a circle grows proportionally to the square of the radius.