Final answer:
The area of the pizza is 4.5 m² and it can fit on a plate with a radius of √10 inches or √12 inches. Therefore, the pizza will fit on both plates.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius. In this case, the area of the pizza is given as 4.5 m², which is calculated using a radius of 1.2 m.
To determine if the pizza will fit on a plate with a radius of √10 inches or a radius of √12 inches, we need to compare the radius of the pizza with the radius of the plate.
The approximate value of √10 is 3.16 inches, and the approximate value of √12 is 3.46 inches.
If the radius of the plate is greater than or equal to the radius of the pizza, then the pizza will fit on the plate.
Therefore, the pizza will fit on both plates.