Question

1. 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?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no

Answer 1

47%

Explanation:

Radius of Austin = 200 miles

Total area of Austin =
`\pi r^(2)`

where 'r' = radius of Austin

From this formula,

Area of Austin =
`\pi (200)^2`

= 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

=
`\frac{\text{Area of Austin}}{\text{Total area of Texas}}* 100`

=
`(125663.71)/(267339)* 100`

= 47%

In this question, information regarding population of Texas will not be used.