Lake Superior has a shoreline of length 2726 miles. What would be its diameter in $\mathrm{km}$ if it were a perfectly circular lake? One mile is $1.609 \mathrm{~km}$.
A) $1396 \mathrm{~km}$
B) $539 \mathrm{~km}$
C) $847 \mathrm{~km}$
D) $270 \mathrm{~km}$
E) $698 \mathrm{~km}$
F) $1694 \mathrm{~km}$

Question

Quizplus · Accepted Answer

The circumference of a circle is given by $2\pi r$, where $r$ is the radius. The diameter is twice the radius, so the diameter of a perfectly circular lake with a shoreline of 2726 miles would be $2726/(2\pi) = 434.6 \mathrm{~miles}$. Converting to kilometers, we get $434.6 \times 1.609 = 698 \mathrm{~km}$.

Lake Superior Has a Shoreline of Length 2726 Miles km\mathrm{km}km If It Were a Perfectly Circular Lake? One Mile Is

Lake Superior Has a Shoreline of Length 2726 Miles $\mathrm{km}$ If It Were a Perfectly Circular Lake? One Mile Is