Question

the brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use π = 3.14. 0.9 hours 1.6 hours 2.6 hours 5.1 hours

Explanation:

Step1: Find the radius of the circular area

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(A = 80000\) square miles and \(\pi=3.14\), we solve for \(r\):

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Step2: Calculate the time

The bats' speed \(v = 99\) miles per hour. Using the formula \(t=\frac{d}{v}\) (where \(d = r\) in this case of radial distance), we have \(t=\frac{159.62}{99}\approx1.6\) hours.

Answer:

1.6 hours