Final answer:
The area of a circular garden with a 22-foot diameter is approximately 379.94 square feet, which is option 4 on the student's list.
Step-by-step explanation:
To find the area of a circular garden with a diameter of 22 feet, we first need to calculate the radius. The radius is half of the diameter, so in this case, the radius (r) is 11 feet. The formula to calculate the area (A) of a circle is A = πr², where π is approximately 3.14159.
Plugging in our radius:
A = π × (11 ft)²
A = π × 121 ft²
A ≈ 3.14159 × 121 ft²
A ≈ 379.94 ft²
Therefore, the approximate area of the garden is 379.94 feet², which corresponds to option 4 in the list provided by the student.