Final answer:
The area of the shaded region is approximately 329.005 km².
Step-by-step explanation:
To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle. The area of a circle can be found using the formula A = πr², where r is the radius of the circle.
The larger circle has a radius of 12 km, so its area is A₁ = π(12)² = 144π km².
The smaller circle has a radius of 6.27 km, so its area is A₂ = π(6.27)² = 39.172π km².
Therefore, the area of the shaded region is A = A₁ - A₂ = 144π - 39.172π = 104.828π km².
Using the approximate value of π as 3.14, we can calculate the area as A ≈ 329.005 km².