Question 9.3E4: Determining the Shaded Area Determine the shaded area. Use t......

To determine the area of the shaded region, we will first determine the area of the parallelogram and then subtract the area of the circle. Notice that the height of the parallelogram is equal to the diameter of the circle. Since the diameter of a circle is twice its radius, the height of the parallelogram = 2 ⋅ 2 feet, or 4 feet.

Area of the parallelogram = bh = 10 ⋅ 4 = 40 ft²
Area of the circle = πr² = π(2)² = π ⋅ 4 ≈ 12.57 ft²
Area of the shaded region = Area of the parallelogram – Area of the circle
≈40 – 12.57 ≈ 27.43 ft²

Thus, the area of the shaded region is approximately 27.43 ft².