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#16
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I want to add that measuring the sides doesn't give you enough information
to make an accurate scale model. You must also measure the angles (very difficult to be accurate) or the diagonals (recommended), and ensure that your model is accurate those ways too. "Andrew Ostrander" wrote in message ... Making a paper model sounds like a good idea to me, but if you want to work on the ground instead, bisect the southeast angle and bisect the southwest angle. Where the bisectors meet is the center of your circle. Note that because your west side is bent, there may not be a perfect circle that touches all 3 sides, but the bisection method will find it if it exists. . "Warren" wrote in message ... DrLith wrote: I didn't do real good at geometry class, either, but I think I did come up with a reasonable scale drawing of the space you described. If I'm close, then a 12' diameter circle will NOT be big enough to do what you want it to. The center of such a circle would need to be 6' up from the street and 6' in from the driveway if it's going to touch both, and it's not going to touch the west/northwest "almost straight" boundary at all. Instead, you're going to need something closer to 17-18' in diameter (about 8.5' in radius) centered 8.5-9' north of the street edge and 8.5-9' west of the driveway edge. I'd suggest you draw out your own scale drawing, though--not too hard to do if you cut out line segments of the appropriate length, lay down the easy parts first (south and east side) and then test position the other three segments until you get a mostly right angle in the northwest. I think you're right. I cut-out some paper strips to represent the sides. Took me a good half-hour to get them down right, and that was even after using corners of the paper to make combined south and east, and north and northwest sides. It took awhile, including re-taping a couple of times when corners didn't line-up, but I finally got it down. I then used variously sized lids from jars and bottles until I found what that fit the way I was hoping, and when I measured it, it was about 17 units in diameter. Truth is, I never did get it to fit as snugly into the narrow end as I was seeing when I was looking at the actual location. This leaves me with two too big areas in the southwest and southeast corners, and a circular area far bigger than I want. I can't believe my perception from the ground was so far off. Even if I fudge everything in favor of what I envisioned, I still don't get down to anything close to the 12' diameter I was guessing. Of course this is exactly why I wanted to know all my measurements *before* I started digging, and placing stones. -- Warren H. ========== Disclaimer: My views reflect those of myself, and not my employer, my friends, nor (as she often tells me) my wife. Any resemblance to the views of anybody living or dead is coincidental. No animals were hurt in the writing of this response -- unless you count my dog who desperately wants to go outside now. Have an outdoor project? Get a Black & Decker power tool:: http://www.holzemville.com/mall/blackanddecker/ |
#17
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I would just walk around and put about 10 stakes in the ground by eye.
Then string a couple strings across to find the center and then mark your circle from there. You might have to do it 2 or 3 times. Good Luck |
#18
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"Andrew Ostrander" wrote in
: Making a paper model sounds like a good idea to me, but if you want to work on the ground instead, bisect the southeast angle and bisect the southwest angle. Where the bisectors meet is the center of your circle. Note that because your west side is bent, there may not be a perfect circle that touches all 3 sides, but the bisection method will find it if it exists. . I thought this is what Caroline suggested but apparently not. The radius, r, of the circle to the south end should form the same edge for triangles made from half of each bisected angle. By symmetry, the west and east side should have the same r, giving you a correct solution. Good job. |
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