Question

The diameter of a circle is 2 miles. What is the area?
d=2 mi
Give the exact answer in simplest form
______ Square Miles

Answer 1

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:

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