Problema Solution
Seventy percent of the population of Texas lives within a 200 mile radius of Austin. If the total area of Texas is 267,339 square miles, about what percent of the total land area is within 200 miles of Austin?
Answer provided by our tutors
the area of the land that is within 200 miles of Austin is (are of a circle with radii 200 mi):
A = 200^2 * pi
now the percent of the total area of 267,339 square miles is:
A/267,339 = (200^2 * pi)/267,339 = (40000 * 3.14)/267,339 = 0.4698 or 46.98%.