anonymous
  • anonymous
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?
Mathematics
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anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Give me one second
anonymous
  • anonymous
(( a )/b)π is not radical?
anonymous
  • 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
  • anonymous
Gotta go thanks!

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