Answer: About 1.34%.
Explanation:
Given : About 50% of the population of Alaska lives within a 50-miles radius of Anchorage.
To find the area of the section within 50 miles , we need to find the area of the circle with radius = 50 miles.
Area of circle =
![\pi r^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/69e2ijkvwardlu2n5rrgtkpqc3b44mcw34.png)
Then,
Area of the section within 50 miles=
![(3.14) (50)^2=7850\text{ miles}^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mx0sjcj65epw3qjceyygnsc2814jduvcyg.png)
Also, the area of Alaska is 586,412 miles.
Now, the percent of the total land area is within 50 miles of Anchorage :_
![(7850)/(586412)*100=1.3386492773\approx1.34\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fkrsq4pc1074s55ovnt7c7demn8p2ue5xh.png)
Hence, the percent of the total land area is within 50 miles of Anchorage= 1.34%