28 replies to this topic

[BMAD]

You put your dog on a leash.  Your leash is 80 feet in length.  The dog is tethered to part of the exterior of your house (the tie is not part of the 80 feet).  Your home's dimensions are 60ft by 40ft.  How much yard does the dog have access to?

[bonanova]

Spoiler for Depends.

Where is the tie point on the house?

Here are three cases.

Corner tie gives the dog the most area to roam, middle of 60' side gives the least.

1. Corner: 5300 pi ft²
2. Mid-40' side: 5000 pi ft²
3. Mid-60' sice: 4500 pi ft²

[Debasis]

i have taken for granted the that the dog is tied to the corner of the house.....

Spoiler for What i think

the are of yard it has access to will be the area of the circle formed by the radius (rope) of 80 ft - the area of the house . after doing some algebraic gymnastics we get that are is 3.14159*80*80 - 60*40
or 17706.19 ft^2 approx

Edited by Debasis, 22 February 2013 - 12:42 PM.

[Debasis]

Spoiler for what i think

i have taken for granted the that the dog is tied to the corner of the house.....

Spoiler for what i think

the are of yard it has access to will be 16650.48 ft^2 it is an approximation...well the area the dog has access to is the area of the circle with radius 80ft - area of quadrant in which house is there + area of quadrant with radius 20 ft +area of quadrant with radius 40 ft....let me know if something is
wrong...(please pardon me becuase i cant make others understand these things well

[Debasis]

Spoiler for Depends.

Where is the tie point on the house?

Here are three cases.

Corner tie gives the dog the most area to roam, middle of 60' side gives the least.

1. Corner: 5300 pi ft²
2. 
   
3. Mid-40' side: 5000 pi ft²
4. 
   
5. Mid-60' sice: 4500 pi ft²
6. 
   

did you take in to consideration that if you go around the house (on 60 ft side For example)when you turn to other side you will get access to only the quadrant with 20 ft radius?

[BMAD]

don't take for granted where The dog is tied

[BMAD]

Spoiler for 'tieing

There are more than three possible places to tie the dog.

[k-man]

Spoiler for Assuming there is no fence or other obstacles around the house...

The area accessible to the dog is anywhere between 4500*pi (~14137.167) ft² and 5300*pi (~16650.441) ft² depending on where the dog is tied to the house.

[bonanova]

Spoiler for 'tieing

There are more than three possible places to tie the dog.

Sure. There are an infinite number of tie points.
Do you want a general equation?
Do you want the tie point for max or min?
Something other?

[BMAD]

Spoiler for 'tieing

There are more than three possible places to tie the dog.

Sure. There are an infinite number of tie points.
Do you want a general equation?
Do you want the tie point for max or min?
Something other?

 

A simple range of values would suffice so that i know the potential roaming of my dog.