A circular picture is 8 inches in diameter. 1. What is the area of the picture in square inches? A. 4 pi square inches B. 8 pi square inches C. 16 pi square inches D. 32 pi square inches 2. A frame that is 2 inches wide surrounds the

1. B. 8? square inches. Explanation: The formula to calculate the area of a circle is A=?r^2. Here, the diameter is given as 8 inches, so the radius (r) will be half of that, which is 4 inches. Substituting this value in the formula, we get A=?(4)^2, which simplifies to A=16?. Therefore, the area of the picture is 16? square inches. 2. D. 40? square inches. Explanation: To calculate the total area of the picture and the frame, we need to find the diameter of the entire structure first. Since the frame is 2 inches wide on all sides, the diameter of the structure will be the diameter of the picture + 2 inches on each side. Therefore, the diameter will be 8+2+2=12 inches. Now, using the formula A=?r^2, we can find the area of the entire structure. The radius (r) will be half of the diameter, which is 6 inches. Substituting this value in the formula, we get A=?(6)^2, which simplifies to A=36?. Therefore, the total area of the picture and the frame is 36? square inches.