Final answer:
The area of the circle with a radius of 2 kilometers is 12.56 square kilometers when rounded to the nearest hundredth using the formula A = πr² with π approximated as 3.14.
Step-by-step explanation:
The radius of a circle is 2 kilometers and to find the circle's area, we use the formula A = πr².
Substituting the given radius and using 3.14 as an approximation for π,
the calculation would be A = 3.14 x (2 km)².
Squaring the radius (2 km x 2 km = 4 km²) and then multiplying by π (3.14 x 4 km²),
we get an area of 12.56 km².
However, we need to round our answer to the nearest hundredth, which would give us 12.56 km² as the final result.
Therefore, the area of the circle is 12.56 square kilometers.