Question

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

Explanation:

Step1: Find the radius

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

Step2: Use the area formula for a 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 kilometers.

Answer:

\(\pi\)