Calculate the surface area of part B shown in Figure 3, given a square of side length 3.00 m and unshaded quarter-circles.

7. a) The surface area of part B

Step 1: Identify the dimensions from Figure 3.
The overall shape is a square with side length $L = 3.00 \text{ m}$.
The unshaded regions (like part A) are quarter-circles. The radius of these quarter-circles is half the side length of the square, so $R = \frac{3.00 \text{ m}}{2} = 1.50 \text{ m}$.
Part B is the central shaded region, which is the area of the large square minus the area of the four quarter-circles.

Step 2: Calculate the area of the large square.

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