Final answer:
To find the area of the largest circular rug that can fit in Susie's rectangular dining room, determine the diameter of the circular rug by taking the minimum value between the length and width measurements. Use the formula A = πr² to calculate the area by multiplying π (pi) with the radius squared.
Step-by-step explanation:
To find the area of the largest circular rug that can fit in Susie's rectangular dining room, we need to determine the diameter of the circular rug. Since the diameter should be equal to the shortest dimension of the room, we can take the minimum value between the length and width measurements.
Let's say the length is 4 meters and the width is 3 meters. The diameter of the circular rug would be 3 meters. To calculate the area, we use the formula A = πr² where r is the radius. Since the radius is half the diameter, we have r = 3/2 = 1.5 meters. Plugging this value into the formula, we get A = 3.14 * 1.5² = 7.07 square meters.