Final answer:
The space not occupied by the dish is 0 cm².
Step-by-step explanation:
In order to find the space not occupied by the dish, we need to find the area of the circular dish and subtract it from the area of the circular surface of the dining table. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
For the circular dish, the radius is given as 23 cm. So, the area of the dish is A = 3.1415927...(23 cm)². Using a calculator that has an eight-digit output, we find that the area of the dish is approximately 1661.903 cm².
For the circular surface of the dining table, the radius is also given as 23 cm. So, the area of the table is A = 3.1415927...(23 cm)². Again, using the same calculator, we find that the area of the table is approximately 1661.903 cm².
To find the space not occupied by the dish, we subtract the area of the dish from the area of the table: 1661.903 cm² - 1661.903 cm² = 0 cm².