Answer: The sprinkler can cover is 450 square feet.
Step-by-step explanation: The area covered by a circle is given by the formula:
A = πr^2
where A is the area and r is the radius.
In this case, the radius is given as 12 feet, so we can calculate the area covered by the sprinkler as:
A = π(12 ft)^2
A = 144π square feet
We can use the approximation π ≈ 3.14 to estimate the area covered:
A ≈ 144 x 3.14
A ≈ 452.16 square feet
Therefore, the closest choice to the area of lawn that the sprinkler can cover is 450 square feet.