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Martin ordered a picture with a 12-inch diameter, Ricky ordered a picture with a 16-inch diameter. What is the approximate difference in area of the two in square inches?

User Gineer
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Final answer:

To find the approximate difference in area, calculate the areas of each picture using the formula A = πr^2. The difference in area is obtained by subtracting the smaller area from the larger area.

Step-by-step explanation:

To find the approximate difference in area of the two pictures, we need to calculate the areas of each picture. The formula for calculating the area of a circle is A = πr^2, where A is the area and r is the radius. Given that the diameter of Martin's picture is 12 inches, we can find the radius by dividing the diameter by 2: 12 inches / 2 = 6 inches. Plugging this value into the area formula, we get A = 3.14(6 inches)^2 = 113.04 square inches. Similarly, for Ricky's picture with a diameter of 16 inches, the radius is 8 inches, and the area is A = 3.14(8 inches)^2 = 200.96 square inches.

To find the approximate difference in area, we subtract the smaller area from the larger area: 200.96 square inches - 113.04 square inches = 87.92 square inches. So, the approximate difference in area of the two pictures is approximately 87.92 square inches.

User Damien Ryan
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