lighthouse x has a radius of 18 mi
lighthouse z has a radius of 28 mi
lighthouse z lights up how much more area than lighthouse x? round answer to the nearest tenth.
8 years ago
8 years ago
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?
8 years ago
correct!!
11 months ago
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 = Οr^2, where A represents the area and r represents the radius.
For Lighthouse X:
Radius (x) = 18 miles
Area (AX) = Ο(18^2) = 324Ο square miles
For Lighthouse Z:
Radius (z) = 28 miles
Area (AZ) = Ο(28^2) = 784Ο 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 = (784Ο) - (324Ο)
Difference = 460Ο
To round the answer to the nearest tenth, we can substitute the value of Ο with approximately 3.14:
Difference β 460 * 3.14
Difference β 1444.4 square miles
Therefore, Lighthouse Z lights up approximately 1444.4 square miles more area than Lighthouse X.