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The formula for the area of a circle is A = πr^2, where "π" is a constant approximately equal to 3.14, and "r" is the radius of the circle.
Given that the diameter, which is twice the radius, is 21 miles, we can find the radius by dividing 21 by 2:
r = d/2 = 21/2 = 10.5 miles
Substituting this value of radius into the formula, we get:
A = πr^2
A = 3.14 × (10.5)^2
A = 346.185 square miles
Rounding this value to the nearest hundreds place, we get:
A ≈ 346.19 square miles.
Therefore, the area of the circle is approximately 346.19 square miles.