Final answer:
The area of Circle B is 2700 in² since its diameter is three times that of Circle A, making its radius three times larger, and the area is nine times greater, as the area of a circle scales with the square of the radius.
Step-by-step explanation:
The question asks to find the area of Circle B given the diameter and comparing it with Circle A which has a known diameter and area.
To find the area of Circle B, we use the area formula for a circle, A = πr².
Since the diameter of Circle B is three times that of Circle A, its radius will be three times larger.
Therefore, Circle B's area will be nine times greater than Circle A's area because area scales with the square of the radius.
Circle A has an area of approximately 300 in², so Circle B, having a radius three times larger, will have an area of 300 in² × 9, which equals approximately 2700 in².