Question

the diameter of a circle is 2 miles. what is the area?
give the exact answer in simplest form.

square miles

Explanation:

Step1: Find the radius

The diameter \( d = 2 \) miles. The radius \( r \) is half of the diameter, so \( r=\frac{d}{2}=\frac{2}{2} = 1 \) mile.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 1 \) into the formula: \( A=\pi\times(1)^{2}=\pi\times1=\pi \) square miles.

Answer:

\(\pi\)