A circular table has a diameter of 48". The table can be enlarged by inserting two rectangular leaves, each 18" wide and 48" long. What is the area of the expanded table?

Table:

A = 3.14 * 24^2
A = 1808.64 square inches

Leaves:
A = 2(18 * 48)
A = 1728 square inches

Add the two areas together to find the total area.

To find the area of the expanded table, we first need to calculate the area of the circular portion and then add the additional areas of the rectangular leaves.

Step 1: Calculate the area of the circular portion:
The diameter of the circular table is given as 48 inches, which means the radius is half of the diameter, so the radius is 48/2 = 24 inches.
To find the area of the circular portion, we use the formula for the area of a circle: A = π * r^2, where A represents the area and r represents the radius.
So, the area of the circular portion is A = π * (24)^2.

Step 2: Calculate the area of the rectangular leaves:
We are given that each rectangular leaf has a width of 18 inches and a length of 48 inches.
To find the area of a rectangle, we use the formula: A = length * width.
So, the area of each rectangular leaf is A = 18 * 48.

Step 3: Calculate the total area of the expanded table:
To get the total area, we sum the area of the circular portion with the area of the two rectangular leaves.
Total Area = Area of the circular portion + 2 * Area of the rectangular leaves.

Now, we can substitute the values we've calculated into the equation and solve for the total area:
Total Area = π * (24)^2 + 2 * (18 * 48).

Calculating the values:
Total Area = 3.14 * (24)^2 + 2 * (18 * 48)
Total Area = 3.14 * 576 + 2 * 864
Total Area = 1809.44 + 1728
Total Area = 3537.44 square inches.

Therefore, the area of the expanded table is approximately 3537.44 square inches.