The diameter of a circle is 2 miles. What is the area?

d=2 mi
Give the exact answer in simplest form
______ Square Miles

1 answer

To find the area of a circle, you can use the formula:

\[ A = \pi r^2 \]

where \( A \) is the area and \( r \) is the radius of the circle.

Given that the diameter \( d \) is 2 miles, the radius \( r \) is half of the diameter:

\[ r = \frac{d}{2} = \frac{2 \text{ mi}}{2} = 1 \text{ mi} \]

Now, substitute the radius into the area formula:

\[ A = \pi (1 \text{ mi})^2 \]

\[ A = \pi \cdot 1 \text{ mi}^2 \]

\[ A = \pi \text{ square miles} \]

So the exact answer for the area of the circle in simplest form is:

\[ \pi \text{ Square Miles} \]