Final answer:
To calculate the number of black squares in a larger circle with a total of 162 squares, the ratio of black squares to the total squares must be known. Without this ratio, it's not possible to determine the correct number of black squares.
Step-by-step explanation:
The question is asking to determine how many black squares are in a large circle if the circle contains 162 squares in total, with white, striped, and black squares in the same ratio as those shown in the smaller circle referenced. To solve this problem, we would need to know the specific ratio of black squares to the total number of squares. Without this information, the problem cannot be solved accurately.
However, if a ratio was provided, the process would involve dividing the total number of squares by the sum of the parts of the ratio to find the value of one part and then multiplying by the number of parts that represent the black squares to find the answer. For instance, if the ratio was 1:1:1, then each part would be 54, and there would be 54 black squares. But as no ratio was given, it's not possible to determine the correct number of black squares without additional information.