Final answer:
The area of a circle with a 24-inch diameter is approximately 452.39 square inches, calculated using the formula A = πr², but this does not match any of the given answer choices, suggesting there may be an error in the question or answer options.
Step-by-step explanation:
The question asks for the area of a circle with a diameter of 24 inches. To find the area of a circle, the formula is A = πr², where A is the area and r is the radius of the circle.
Since the diameter is 24 inches, the radius is half of that, which is 12 inches. Substituting the radius into the formula gives us A = π(12 inches)² = π(144 inches²) ≈ 3.1416 × 144 inches² ≈ 452.39 inches². However, none of the answer choices exactly match this result. Therefore, the correct area of the circle with a given diameter of 24 inches is approximately 452.39 square inches, which is not outlined in the options provided. The question or the answer choices might contain an error, or the question is referring to something other than a standard circular plate, such as '2G plate' that possibly could have a different meaning or context.