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Dark Circles?
More Eyes Dark Circles questions please visit :Eyes-DarkCircles.com
Dark circles?
I have dark circles no situation what..I get enuf sleep[over 10 1/2 hrs!] 4everDo u kno what causes obscurity circles other than lack of sleep?Do u kno how to win rid of dark circles? [at home simple items plz]plz answerno rude comments only answer if ya kno it!thx surrounded by advance Dark Circles...
Dark Circles?
I Have Dark Circles Under My Eyes And How Can I Get Rid Of Them Or Whats A Good Way To Cover Them Up?Please Help! Dark circles beneath the eyes can be due to lack of sleep, fatigue, allergies, hormonal changes, and sometimes are simply inherent.Applying cool tea bags or cool cucumber...
Dark Circles?
i have dark circles underneath my eyes and i don't know how to get rid of them other then covering them next to concealer but that doesn't always work cuz it wears bad. do you know of any good products that i can buy at a drug store that will work well? I...
Dark circles?
i have dark circles underneath my eyes and i have had them since i be little and now i am just tired of citizens either staring or pointing out that they can see the veins. do you no of anything that TRUELY works to bring back rid of them?? check the links below...
Dark circles?
i have dark circles underneath my eyes i used to have them really bad i looked resembling a raccoon now its improving but i entail advice, i feel really bizarre having these dark circles because im unsophisticatedly the only one with my friends who have this. my mom dosent have this problem but...
Dark circles?
I have dark circles underneath my eyes. They're not bad at all, noticable, but not discouraging. Anyway, it's not due to lack of sleep, i've slept 2 hours on some days and 16 on others; I still have them, not a bit worse or better than before. I eat a common diet, I...
Dark circles?
i have horrible dark circles lower than my eyes.(i would download a pic but i can't find my camera, and this is a new computer)my mom won't buy me any me any of those products they sell on tv.she say its just expensive lotion.and makeup? out of the picture.i'm only 13 so my...
Dark circles?
I have quite foggy circles under my eyes and even darker overriding into the corners. What products can I use to reduce/cover up these circles. I'm getting married in June and don't want to look half unconscious! on the time of ur wedding i suggest concealer Good Luck! sleep, and put cuccumbers on...
Dark Circles?
I have really bad ominous circles under my eyes, I don't really have plenty under my eyes or puffiness though. I am looking for a product that reduces dimness circles, please do NOT suggest natural solutions. I've tried tea bags, cucumbers, potato slices, and I drink plenty of dampen and get enough sleep....
Dark circles?
I have really dark circles below my eyes. I wear make-up to mask it powerfully now im in love and pretty soon the bodily processes is coming off how should I do this? Dim the lights! Everyone looks flawless by candlelight. I am only partially kidding. If you are really...
Dark circles?
I have really dark circles beneath my eyes, and it just looks terrible. Im a smoker, so I digit thats a lot of whats causing it, but Ive have these circles even before I started smoking. Is there a product or procedure that will give a hand with this? thanks I've had shade...
Dark Circles?
I have really dark circles lower than my eyes all the time and they really bother mei get up to 12 hours of sleep everynightthe medication thing doesnt work and conclier wheres off after 30 minare within any natural teatment i could do to get rid of my depressing circles.P.S. everone is always...
Dark circles?
I have really dark circles lower than my eyes. Are there any home remedies I can do to get rid of them? Don't speak about me to get more sleep, becuase I don't have time to. use a salmon colord concealer to fur the circles. i dont really know of any home remedies...
Dark circles?
i have really dark circles underneath my eyes. how do i get rid of them? it looks like i'm exhausted adjectives of time. Homemade way: find two spoons and put them in the freezer, once they're nice and cold put them directly under your eyes until you cant quality the coldness anymore, repeat...
Dark circles?
I have terrible dusk circles under my eyes. I get 8 hours of sleep, I drink plenty of marine and I'm not anemic. Any suggestions? It could be hereditary, you can use a obedient concealer to cover it. try yellow concealer, the yellow will neutralize the grey under eye area ...
Dark circles?
I have the worst darkundereye circles ever. I suspect it has something to do beside my three month old son! *lol* I have tried nearly every concealer sold in stores. My latest purchase be a Clinique concealer which didn't do anything. I'm thinking I need something heavy duty to...
Dark circles?
i have these annoying dark circles underneath my eyes even though i get atleast eight hours a night. how do i achieve ride of them for good? read tips on reducing the appearance of misty circles or bags from eyes and home remedies on this site Source(s): this will help you-free adjectives tips...
Dark circles?
i have these dark circles lower than my eyesi hate themeveryone keeps asking me why i hold 2 black eyeshow do i help conceal themwithout using concealerif you update me to eat healthy give an account me how to eat or what to eat or what not to munch throughthanks Well, i'm...
Dark Circles?
I have tried EVERYTHING to get rid of my threatening under eye circles and nothing have worked! Please help, I am running out of ideas – and money! There are several causes of dark circles, from age, inheritance, allergies, cold or sinus infection, bone structure and glasses which are not so commonly known....
Dark circles?
I have very desperate dark circles and I get 8 hours of sleep and I moisturize my frontage twice a day and it isn't genetic. Any ideas of why I enjoy them and how to get rid of them? I cover them up everyday but it doesn't seem to work deeply well but...
Dark Circles?
I have very disinterested skin, and these very dark circles underneath my eyes. They're not from lack of sleep, they don't fade as the day go on. Conceler doesn't cover them well they are too dark. What could be cause them? Any suggestions on lightening them or getting rid of them?Thanx. Well in...
Dark Circles?
I know some people get see circles from time to time but my dad's eyes are really bad. His whole eye areas are greyish-black, not freshly under the eye but all around. Could it be something medical? could be blood flow issues , smoking, drinking too much, drug use. Source(s): http://www.myspace.com/silentjealousy77 ...
Dark circles?
i m 17... im preparing for my entrance exams...these days i study for almost 7-8 hrs a day....i seem i m getting dark circles under my eyes....how can i acquire that area lighter...i m using nomarks antimarks cream bt it doesnt seem 2 enjoy any effect...! Dark circles can treated with regular and...
Dark circles?
i need naturals treatments for dark circles underneath eyes pleaaaaas Body shop do really good treatment for dark circles beneath eyes.Also you could try laying with cucumber on your eyes or put vasiline underneath your eyes when you sleep (it works) Okay! I tried the vaseline below your eye thing, and IT WORKS!!...
About the Author
A hexagon inscribed in a circle has three consecutive sides of length a and three consecutive sides of length?
Determine the radius of the circle in terms of a and b.
I get
r = [1/3(b^2 + a^2 +ab]^1/2
Since I can't draw this or label it, here is some helpful observations:
the sum of all the angles made by the chords is 3alpha+3Beta=360 where alpha is the angle made by each of the first 3 chords and beta the angle from the last 3.
If you connect the center of the circle to all the points on the perimeter, you'll get 6 triangles. Take the quadrilateral made of one of the triangles with the first chord (a) and one of the second (b) adjacent to it. . Work on the angles and use the law of cosines.
On the quadriletral, connect the 2 points on the circumference of the circle that are not connected to complete the diagonal and call it C.
Note that in the triagle with a vertex at the center and opposite side C, the angle alpha + beta = 120 and the opposite side C has length
c = r^2+r^2 -2r*r *cos(120) = 3r^2
Now view the opposite triangle made of of sides of length a and b and the side C . The angle oppsite C is also 120. Apply the law of cosines again to get
3r^2 = a^2 +b^2 -2abcos(120)
Solve for r.
