Math

posted by .

Suppose you have 100ft of fence to make a play area for your dog. Does a square or circle provide more area? What other factors might you take into consideration in designing your play area?

  • Math -

    The circle is the most efficient shape for a maximum area given some perimeter.
    Here is why:
    if circumf = 100
    2πr = 100
    r = 100/(2π) = 15.915
    area = πr^2 = π(15.915)^2 = 795.77

    if you had a square:
    each side = 25
    Area = 25x25 = 625 which is quite a bit less than the circle
    Any other shape, e.g. an equilateral triangle, is less than the area of a circle.

  • Math -

    Circle it has a larger area by 3 more

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometery

    How do I solve this? On my assignment it says find the area inside the square, but outside the circle, given that the radius of the circle is 2 ft. Use 3.14 for ^ I have a picture of a square with a circle in the square, with a base
  2. geometry

    Paula built a play area for her dog in the shape of a regular pentagon. If the perimeter is 35 feet, what is the length of each side of the play area?
  3. math

    The total area of the dog park fence is 90 feet. The play pen is 6 by 10 in feet. How wide is the distance between the play pen and the fence?
  4. math

    A childrens play area is triangular. The sides of the play area measure 90m ,225m and 255m respectively . Calculate the area of the play area?
  5. Math

    A children's play area is triangular. The sides of the play area measure 90m, 225m and 255m respectively. Calculate the area of the play area.
  6. Algebra

    Peter buys 84 yards of fence to make a play area for his puppy. He wants the area to be 28 yards long. What is the area of the play area if he uses the entire fence he bought?
  7. math

    Roger just got a puppy for his birthday. He and his mother will build a fence around an area in the backyard for the puppy to play in. The play area will be 24 square feet. What dimensions could the play area be?
  8. Calculus 1

    A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of the play area. If they want the play area to be exactly 1600ft^2, what is the least amount of fencing needed …
  9. Math grade 6

    Mr. Lincoln is building a rectengular play area in the local park. The length of the play area is ninety-seven and one-half feet. The width of the play area is fifty-six feet. To keep xhildren from falling on a hard surface, the play …
  10. Math grade 6

    Mr. Lincoln is building a rectengular play area in the local park. The length of the play area is ninety-seven and one-half feet. The width of the play area is fifty-six feet. To keep xhildren from falling on a hard surface, the play …

More Similar Questions