Final answer:
The area of a hurricane with a radius of 150 km is calculated using the formula for the area of a circle (A = πr^2), which results in approximately 70,685 square kilometers.
Step-by-step explanation:
The question asks us to calculate the area of a hurricane with a given radius of 150 km. To find the area, we utilize the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius of the circle.
Substituting the given radius into the formula, we get:
A = π(150 km)^2
A = π(22,500 km^2)
A = π * 22,500
Since π (pi) is approximately 3.1416, the calculated area of the hurricane would be:
A ≈ 3.1416 * 22,500 km^2
A ≈ 70,685 km^2
The hurricane's area of approximately 70,685 square kilometers helps underscore the potential for large-scale destruction, especially with high wind speeds near the center increasing the hurricane's power dramatically.