## Related questions with answers

A bear was seen near a campground. Searchers were dispatched to the region to find the bear. a. Assume the bear can walk in any direction at a rate of 2 miles per hour. Suppose the bear was last seen 4 hours ago. How large an area must the searchers cover? Use 3.14 for $\pi$. Round your answer to the nearest square mile. b. How much additional area would the searchers have to cover if the bear were last seen 5 hours ago?

Solution

Verified#### a.

Determine the area the searchers must cover. The radius of the area the bear walks is 8 miles, since the bear was last seen 4 hours ago with the rate of 2 miles per hour.

$\begin{align*} A &= \pi r^{2} && \text{Write the formula for the area of circle}\\ A &= (3.14)(8)^{2} && \text{Substitute the values}\\ A &= (3.14)(64) && \text{Evaluate the exponent}\\ A &= 200.96 && \text{Multiply the values}\\ A &= 201 && \text{Round off} \end{align*}$

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