Any mathmeticians here

[Fields_mj]

I know this isn't what you asked for, but you could also buy some quick connect fittings for your garden hose along with some short (10'-20') hoses that can bridge the gaps. That would get you down to 4 spigots. Three 15' hoses would allow you to get down to 4 spigots and only leave a very small triangle on each end that you couldn't reach. Otherwise, you're looking at 6 spigots as shown above. If you're not happy with those small gaps, you're looking at 8 spigots.

https://www.amazon.com/Hourleey-Garden-Connect-Fitting-Connector/dp/B09NSJZPBK/ref=asc_df_B09NSJZPBK?mcid=b14bf2386d9f30d48a49d50ded2438ce&hvocijid=13941950248428000918-B09NSJZPBK-&hvexpln=73&tag=hyprod-20&linkCode=df0&hvadid=721245378154&hvpos=&hvnetw=g&hvrand=13941950248428000918&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9016690&hvtargid=pla-2281435181258&th=1

 

[MossRoad]

Still leaves some gaps, but does have more overlap... might be a hair better:

View attachment 3397311

Thanks!

 

[MossRoad]

I guess I have a question for the OP....

WHY?!

Just curious.

 

[JPRambo]

I think you need 10 spigots. If you want to start with one in each corner. Dark blue being a spigot light blue being coverage.

 

[Lgim]

I tend to consider this a right angle triangle problem, rather then a circle. If you draw a line down the center it will be 90 ft from each side.

If you put a spigot at 35 ft up the side line. You will have a right angle triangle, side A is 90 ft, side B is 35 ft, and the Hypotenuse C will be calculated at 96.57 ft - so a 100 ft hose would reach that corner (point 0 on the center line).

If you flip the triangle over top to bottom you would have a second point on the center line at 70 ft. So you would have a rectangle 70 ft by 90 ft and your hose would reach both corners on the center line from the center of the side line.

Do this 7 times on one side and you have half the area covered 490 ft by 90 ft.

Do 7 spigots on each side and you have everything covered, or you could run 7 spigots up the center line and reach every corner with a 96.57 ft hose.

The math says you could use 6 spigots but your hose would have to be 98.83 ft long.

I think the math is correct, it has been a few years.
g

 

[ning]

I'd pretend that a 100' hose can reach 90', otherwise you're going to be putting a lot of tension on your hose bibs and always having to tug on the hose to get the final few feet to get to your spot.

I personally like the idea of the spigots on the perimeter, because there's likely a fence there and it helps guard the spigot (and possibly give you something to brace it to). If you're set on doing this, I'd put one at the middle of each end, and then one every 82' on the sides (at 82, 164, 246, 328, 410). This would give full coverage with a bit of overlap where you could manage to reach spots near the end of the hose with two or three different bibs. It would suck to be wanting to use water in a medium size area and have to pull hoses from three different bibs to get it all when an extra bib or two could've allowed a bit more overlap; more bibs would increase the chance that a single hose lay would hit everything you're doing in one area.

Overall I have to say it's better to have an idea of where you actually want to be using the water rather than trying to cover the whole area. Why? Because you're likely to find in the future that you don't actually want to be dealing with 100' hoses all the time, and you may prefer to have a spigot *right there* so that you can do a variety of chores there with one or more shorter hoses. So, either bite the bullet now and run an extra 50% bibs (I doubt you'll regret it) or just run a few, get extra hose, and live with inconvenience for a couple of years and see how you're actually using the land.

I've literally moved a hose bib 12' because I didn't like where it was before (ain't it nice having a digger?).

I've taken to setting a cross tee (like a tee, but it's got four connections instead of three) on top of my pipes, with three hose bibs coming off the cross - one 3/4" on top and two 1/2" on the sides, which gives me great flexibility with a more reliable valve than temporary Y's when I want to hook up more than one hose or water use at a bib (typically I use a side spigot for an irrigation sprinkler timer, and keep the top valve available for more various hose uses; very rarely I use all three but it's nice not having to go find a Y when I do).

 

[Mtsoxfan]

Maybe I missed it, but why do you need the hose to reach every part?
Unless you are hooking it to something, water spray will reach, lets say, 20' more or less than hose length. (water pressure dependant)

 

[ning]

Overall I have to say it's better to have an idea of where you actually want to be using the water rather than trying to cover the whole area. Why? Because you're likely to

From direct personal experience with 100' hoses, I have something to add to this - currently I mostly use a particular hose bib to reach where my ducks spend their nights, I use it daily, and it's most of a 100' hose away from the bib.

Don't forget that you need to walk to the bib to turn it on and off, too. Walking is good for you, but forcing it leads one to consider just leaving pressure in the hose all the time with a valve at the end of the hose... like I do a lot... it's ok in the winter, but I force myself to turn the hose on and off at the bib (and release the pressure in the hose) when it gets hotter because the hose is obviously stretching with piping hot water softening the material.

Near the top of my to-do list is actually to put in another hose bib near where I'm mostly using water. It's not where I would've expected to want a hose bib ten years ago, but it's where I want it, now.

 

[hube2]

Isosceles Triangle Calculator

Use our isosceles triangle calculator to find any part of an isosceles triangle. Calculate any leg, angle, perimeter, or area of a triangle.

www.inchcalculator.com

a = 100 (length of hose)
h = 90 (1/2 width of plot)
b = 87.178 feet maximum distance between spigots

I like things to be symmetrical.

With spigots in the corners you'll need 7 spaced evenly along each long side, that would put them at 81' 8" apart.

If instead of placing them at the corners you put the first one 40' 10" from the corner and then spaced them the same in between (81' 8") you could get away with 6 spigots along each long side.

Please don't assume I am right, I would lay this out using survey stakes and take messurments.

 

[4570Man]

You could get by with two spigots and reach the entire area. You wouldn't have any extra hose left over but it'll reach everywhere you are wanting to.

If you spaced the spigots 100 ft from the sides and 200 foot to the next one you’d only cover 400 ft not the 490. You’d also be short of reaching the corners. Without doing any math and just guessing you’d need like 6 spigots to get good coverage of that area.