Questions: Find the area of the blue region above. (The figure is not drawn to scale and remember to use π ≈ 3.14 for all calculations involving π ). Area = □ m^2 Round answers to 2 decimal places as needed.

Find the area of the blue region above. (The figure is not drawn to scale and remember to use π ≈ 3.14 for all calculations involving π ). Area = □ m^2 Round answers to 2 decimal places as needed.
Transcript text: Find the area of the blue region above. (The figure is not drawn to scale and remember to use $\pi \approx 3.14$ for all calculations involving $\pi$ ). Area = $\square$ $\mathrm{m}^{2}$ Round answers to 2 decimal places as needed.
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Solution

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Solution Steps

Step 1: Calculate the area of the square.

The area of the square is side * side, or 8 mi * 8 mi = 64 mi2.

Step 2: Calculate the area of the circle.

The area of a circle is πr2. The radius is half the diameter, or 4 mi. The area of the circle is 3.14 * (4 mi)2 = 3.14 * 16 mi2 = 50.24 mi2.

Step 3: Calculate the area of the blue region.

The blue area is the area of the square minus the area of the yellow circle. 64 mi2 - 50.24 mi2 = 13.76 mi2

Final Answer:

The area of the blue region is 13.76 mi2.

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