Posted by **Sara** on Tuesday, January 10, 2012 at 11:19pm.

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 -
**Reiny**, Tuesday, January 10, 2012 at 11:39pm
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 -
**Alicia**, Tuesday, January 10, 2012 at 11:56pm
Circle it has a larger area by 3 more

## Answer This Question

## Related Questions

- Algebra - Peter buys 84 yards of fence to make a play area for his puppy. He ...
- math - Roger just got a puppy for his birthday. He and his mother will build a ...
- Calculus 1 - A family wants to fence a rectangular play area alongside the wall ...
- Math - A children's play area is triangular. The sides of the play area measure ...
- math - A childrens play area is triangular. The sides of the play area measure ...
- Math grade 6 - Mr. Lincoln is building a rectengular play area in the local park...
- Math grade 6 - Mr. Lincoln is building a rectengular play area in the local park...
- math - The total area of the dog park fence is 90 feet. The play pen is 6 by 10 ...
- Geometery - How do I solve this? On my assignment it says find the area inside ...
- geometry - Paula built a play area for her dog in the shape of a regular ...

More Related Questions