Fido’s leash is tied to a stake at the center of his yard, which is
in the shape of a regular hexagon. His leash is exactly
long enough to reach the midpoint of each side of
his yard. If the fraction of the area of Fido’s yard that
he is able to reach while on his leash is expressed in
simplest radical form as (( a )/b)π, what is the value
of the product ab?

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- chestercat

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Give me one second

- anonymous

(( a )/b)π is not radical?

- anonymous

Let the side of the hexagon be 2
so the radius of the circle is sqrt(3)
sqrt(3) * 2 * 3 = 6 sqrt(3) = area of hexagon
area of circle is pi (sqrt(3))^2 = 3 pi
3 pi / 6 sqrt(3) = sqrt(3)/ 6
3 * 6 = 18

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- anonymous

Gotta go thanks!

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