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The diameter of a circle is 8 miles what is the area?give the exact answer in simplest form.

The diameter of a circle is 8 miles what is the area?give the exact answer in simplest-example-1

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If the circle has a diameter of 8 miles, then its radius is 4 miles. The area of a circle of radius r can be calculated using the expression:


A=\pi\cdot r^2

For this problem, r = 4 miles, then:


A=\pi\cdot4^2=16\pi\text{ square miles}

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