The area of a circle can be calculated using the formula:
A = πr2
where A is the area, π is a constant (approximately 3.14), and r is the radius of the circle.
First, we need to determine the radius from the given diameter. The radius is half of the diameter:
r = diameter / 2
Given that the diameter is 8 miles:
r = 8 miles / 2 = 4 miles
Now that we have the radius, we can plug it into the area formula:
A = π(4 miles)2
This simplifies to:
A = π(16 miles2)
Using the approximate value of π (3.14), we calculate the area:
A ≈ 3.14 × 16 miles2
A ≈ 50.24 miles2
Therefore, the area of the circle with a diameter of 8 miles is approximately 50.24 square miles.