lighthouse x has a radius of 18 mi

ummmhh, find the area of each circle, then subtract the smaller from the larger.

area of lighthouse x = 1017.36 mi^2

area of lighthouse z = 2461.76 mi^2
2461.76 - 1017.36 = 1444.4
lighthouse z lights up 1444.4 more area than lighthouse x?

correct!!

To find how much more area Lighthouse Z lights up compared to Lighthouse X, we need to calculate the difference in their areas.

The area of a circle is given by the formula A = πr^2, where A represents the area and r represents the radius.

For Lighthouse X:
Radius (x) = 18 miles
Area (AX) = π(18^2) = 324π square miles

For Lighthouse Z:
Radius (z) = 28 miles
Area (AZ) = π(28^2) = 784π square miles

To find the difference in the areas, we subtract the area of Lighthouse X (AX) from the area of Lighthouse Z (AZ):

Difference = AZ - AX
Difference = (784π) - (324π)
Difference = 460π

To round the answer to the nearest tenth, we can substitute the value of π with approximately 3.14:

Difference ≈ 460 * 3.14
Difference ≈ 1444.4 square miles

Therefore, Lighthouse Z lights up approximately 1444.4 square miles more area than Lighthouse X.