Final answer:
The area of the circle with a radius of 4 kilometers is 16π square kilometers. The correct answer is option A.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. In this case, the radius of the circle is 4 kilometers, so substituting this value into the formula gives:
A = π(4 km)²
A = 16π km²
Therefore, the circle's area is 16π square kilometers.