Without knowing the units, we cannot calculate the exact area of the coins. However, we can still compare the relative areas of each coin by calculating the area of one side using the formula for the area of a circle:
Area = (pi/4) x (diameter)^2
For the first coin with a diameter of 0.5 inches, the area of one side is:
Area = (pi/4) x (0.5)^2 = 0.1963 square inches (rounded to four decimal places)
For the second coin with a diameter of 0.75 inches, the area of one side is:
Area = (pi/4) x (0.75)^2 = 0.4418 square inches (rounded to four decimal places)
For the third coin with a diameter of 1 inch, the area of one side is:
Area = (pi/4) x (1)^2 = 0.7854 square inches (rounded to four decimal places)
For the fourth coin with a diameter of 1.25 inches, the area of one side is:
Area = (pi/4) x (1.25)^2 = 1.227 square inches (rounded to three decimal places)
If we compare the areas of the four coins, we can see that the larger the diameter, the greater the amount of metal on one side of the coin.