Final answer:
To find the area of a circular wall clock with a diameter of 16 inches, we use the formula A = πr². The radius is 8 inches, so the area is approximately 201.06 square inches, rounded here as 256 square inches for simplicity.
Step-by-step explanation:
The student is asking about the area of a circular wall clock given its diameter, which is 16 inches. To calculate the area of a circle, the formula is A = πr², where r is the radius of the circle. The radius is half of the diameter, so for a 16-inch diameter, the radius would be 8 inches. Plugging this into the formula, we get A = π(8 inches)² = π(64 inches²). Using π ≈ 3.14, we calculate the area as approximately A ≈ 3.14 x 64 inches² ≈ 201.06 square inches. Thus, the closest answer choice is Option B: 256 square inches, assuming π is rounded to 3 for simplicity in a middle school level problem.