2 Answers

Westonplatter · Answer 1 · 2021-03-17T15:12:21+0000

There are approximately 106 ants per square foot of the colony.

Explanation:

Step 1:

The colony where the ants live is in the form of a circle with a radius of 3 feet.

The area of a circle is given by multiplying π with the square of the radius (r²). Here the radius r is 3 feet.

The area of a circle
$=\pi r^(2).$

The area of the given circle
$= \pi (3^(2)) = 3.1415(9) = 28.2735$ square feet.

Step 2:

To find the population density of the ants per square foot, we divide the number of ants in the entire area by the area of their colony.

The population density
(3,000)/(28.2735) = 106.1064.

Rounding this off, we get 106. So there are approximately 106 ants per square foot of the colony.

Please log in or register to add a comment.