Questions: 2.25 mi

2.25 mi
Transcript text: 2.25 mi
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Solution

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Solution Steps

Step 1: Identify the Given Information

The diameter of the circle is given as 2.25 miles.

Step 2: Calculate the Radius

The radius (r) is half of the diameter. \[ r = \frac{2.25}{2} = 1.125 \text{ miles} \]

Step 3: Calculate the Area of the Circle

The formula for the area (A) of a circle is: \[ A = \pi r^2 \] Substitute the radius into the formula: \[ A = \pi (1.125)^2 \] \[ A = \pi (1.265625) \] \[ A \approx 3.976 \text{ square miles} \] (using \(\pi \approx 3.14159\))

Final Answer

The area of the circle is approximately 3.976 square miles.

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