What is the radius of the circle described below?
Q. What is the radius of a circle centered on the circumference of a unit circle (radius=1), such that the portion of its area which is not common to the two circles is equal to the area of the unit circle? Algebra and trigonometry allows terms to be interpreted geometrically, which calculus does not. Very few can solve this in 3 days.
Asked by skeptic - Sat Jul 12 16:12:48 2008 - - 1 Answers - 0 Comments

A. If the area common to both circles is greater than zero, then the area of the unknown circle must be greater than the area of the unit circle, so the unknown radius must be greater than 1, and thus the unit circle must lie entirely within the unknown circle. So the area of the unknown circle consists of two equal areas, common and not common, each equal to pi. So pi(r^2) = 2pi r^2 = 2 r = square root of 2
Answered by Roger the Mole - Sat Jul 12 19:41:38 2008

How do make a camera travel around a circle in 3ds Max?
Q. I have a model of a guitar and I'm trying to set up the animation for the camera to travel around in a circle to show off 360 degree viewing. I'm using a path constraint with the camera to a circle to get the 360 but every time I move the camera around the circle weird effects happen. Camera moves in opposite directions, jumps around the circle, or moves to new starting positions. Any advice or tutorials?
Asked by Raziel_angel - Thu Sep 17 13:55:38 2009 - - 1 Answers - 0 Comments

A. First - don't use path constraint on the camera directly. Instead - use it on a dummy, and link the camera to the dummy. This way you can still move the camera around the dummy. Secondly - there are 2 common causes for your problem - 1. The camera is moving a lot faster than you think it is. check the path constraint and verify the starting and ending frame. 2. the camera is aligned (or almost aligned) to the Z direction. if that is the case your only solution is to rotate the whole scene.
Answered by Boomerang - Mon Sep 21 03:40:14 2009

How many small circles will fit into a larger circle?
Q. I have a 14" circle how many 1" circles can I fit in side the 14" circle? Is there a formula to figure this out with different diameters? Say I want to fit 2" circles inside a 14" diameter would the formula stay the same?
Asked by Frank - Mon Aug 10 14:21:24 2009 - - 3 Answers - 0 Comments

A. This is a hard problem. There is no simple formula. The best known results are at this web site: The answer for the 1" circles in a 14" circle is 161 circles. A picture is here: The answer for the 2" circles in a 14" circle is 38 circles. A picture is here:
Answered by JB - Mon Aug 10 14:54:38 2009

Need a circle stencile to paint a circle on a wall?
Q. I want to paint a lot of 4 different size circles on a wall. They're going to be pretty big circles so i can't use anything around the house. What technique should i use to create a circle on cardboard for a stencil?
Asked by tlocovare - Sun Jul 27 08:46:38 2008 - - 4 Answers - 0 Comments

A. use a compass, instead of cardboard use mylar found at craft stores
Answered by pickmefirstplz - Sun Jul 27 09:04:22 2008

How to find equation of tangent to a circle given equation of circle and external point?
Q. I have the equation of the circle, and the external point. I know the radius of the circle and its centre. So how can i find the equation of the tangent? Thanks
Asked by Ed - Sun Nov 15 11:39:53 2009 - - 1 Answers - 0 Comments

A. See Let r radius of your circle A = center of circle at origin as shown B = point outside of circle on x-axis as shown C = tangent point. So ABC is a right triangle with hypotenuse = AB, leg AC = r, ABC = = asin(AC/AB), C = (r sin , r cos ), and the tangent line is: y = -x tan + r/cos See
Answered by I'm with Stupid - Tue Nov 17 22:14:42 2009

What causes menstrual circle to reduce from normal? And what would be the cure?
Q. Assuming ones menstrual circle last for 7days and now reduces to 2 to 3days. What is the cause? Is it normal? Does it have a cure?
Asked by ijepums - Sat Mar 24 05:21:12 2007 - - 2 Answers - 0 Comments

A. Stress, lots of excessive exercise, poor diet. The cure is to figure out what is causing your cycle to be shorter. If it continues, seek medical attention.
Answered by mysti_gal11 - Sat Mar 24 05:25:19 2007

What to do first time getting circle lense?
Q. im planning to get a pair of GEO Magic Circle Series in Brown (BC-102) and its my first time buying/wearing circle lense i was wondering if i would still need to go to the optometrist to get my eyes checked if i was just planning to get a plano? and how do i clean the case for the lenses? oh and im getting my lense from : www.lenscircle.com i saw a few reviews and it sounded like a pretty good site any other site suggestions?
Asked by Yuuki - Tue Jan 5 12:58:15 2010 - - 3 Answers - 0 Comments

What is the radius of the largest circle that encloses no lattice points?
Q. A lattice point is a point whose coordinates are both integers. 1. What is the radius of the largest circle that encloses no lattice points? 2. What is the radius of the largest circle that encloses exactly 1 lattice point?
Asked by lil calcster - Tue May 19 22:31:22 2009 - - 2 Answers - 0 Comments

A. 1) Well, if we draw the lattice points (0,0) , (1,0) , (0,1) , (1,1) The circle must have a diameter just below the sqrt of 2 to fit inbetween two of these points on the diagonal. Notice how the diagonal of a square with sides of 1 is the square root of 2. So, technically the answer is as close to being below sqrt2 / 2 as you can find. Your call on where to stop the decimal point. Since the circle technically doesnt enclose the points if they are on the circle Final answer...sqrt2 / 2 2) Well, if we draw the lattice points... (1,0) (0,1) (2,1) (1,2) and in the middle put the point (1,1) Notice how the circle must have a diameter of 2 to enclose just the one point in the middle. So, the largest radius will be 1 Final answer...1 Just… [cont.]
Answered by shhrewd - Tue May 19 22:38:50 2009

What is the blue circle inside the lid of screw top soft drinks for?
Q. Inside the lid of soft drink bottles with screw top lids there a little plastic blue circle. I enjoy chewing on them, but what are they really for?
Asked by Tommmmmm - Mon Dec 14 21:50:46 2009 - - 4 Answers - 0 Comments

A. This web site explains it all. .
Answered by __A_YAHOO_USER__ - Fri Dec 18 21:50:17 2009

How to inscribe a circle in a quadrilateral?
Q. Have a quadrilateral with opposite angles of 90 and 120, and other 2 angles are equal (75). I need to know to construct a circle tangent to all sides. And what is the radius, relative to the sides. While I realize you all tried hard, I need the answer to within .01 inches. You can't draw a diagonal and use the center, that only works on a 'square'. It needs to be tangent to all sides. I can do it in a Computer Drafting program in about 30 seconds, but does anyone know how to graphically solve the problem by hand, and measure the radius?
Asked by sfox991244 - Mon Feb 13 13:18:58 2006 - - 5 Answers - 0 Comments

A. Any circle that is tangent to two adjacent sides of a polygon has to have it's center on the bisector of the angle between them. Construct the bisectors of two of the angles and put the center where the lines cross. If you construct a line from the center that is perpendicular to any of the sides, that gives you the radius of the circle.
Answered by rt11guru - Mon Feb 13 13:41:04 2006

How do i split a function of a circle into the top and bottom half?
Q. Does anyone know how to split the function (equation) of a circle into two separate equations that represent the top and bottom half of the circle? Thanks!
Asked by rocker_pants22 - Sun Feb 15 00:54:52 2009 - - 2 Answers - 0 Comments

A. a circle with center at (h,k) and radius r will have the equation: (x-h)^2 + (y-k)^2 = r^2 then isolate the y-variable: (y-k)^2 = r^2 - (x-h)^2 y - k = (r^2 - (x-h)^2) * here, the positive will yield the top function, the negative, the bottom function thus y = k (r^2 - (x-h)^2)
Answered by Alam Ko Iyan - Sun Feb 15 01:05:21 2009

How can I make a circle cut with a reciprocating saw?
Q. I need to cut a 6 inch circle into a piece of wood for an interior design project. All I have available is a reciprocating saw. How can I cut this?
Asked by Crucifier - Wed Jun 10 18:56:26 2009 - - 3 Answers - 0 Comments

A. If you have something that's 6" in diameter maybe less clamp or screw it to where the hole is going and when cutting run your blame along whatever you use as a jig.
Answered by Bluemason - Wed Jun 10 19:31:32 2009

How do i cut a shape exactly a circle from a plastic sheet?
Q. Circles from bottles tips etc. EXACTLY a circle. I mean the cutting. I cant seem to cut a complete and flawless circle with no sides. Circles from bottle tips etc I mean the cutting. I cant seem to cut a complete and flawless circle with no sides. Even if i use a scissors to cut it,it still has sides and does not look natural,what i want is a flawless circle. Circles from bottle tips etc
Asked by AskNLearn - Mon Oct 27 10:14:59 2008 - - 3 Answers - 0 Comments

A. use a compass
Answered by SMiLE LiKE CRAZiii~ - Mon Oct 27 10:20:23 2008

How would I find the center of a Circle shape I created in Photoshop?
Q. How would I find the center of a Circle shape I created in photoshop? I need to add a 10px dot to the exact center of the circle eclipse frame?
Asked by Noo N - Tue Dec 23 02:48:58 2008 - - 4 Answers - 0 Comments

A. You have this circle in your DOC1. Get the center buy marking the Circle layer with guides from the RULERS at the sides. To mark it, use move tool, click and hold at the ruler at the side, then DRAG to the center. Create coordinates from the rulers at the sides. Now, make a new separate document, just a small sized document for that 10px dot. Make a circle in this new document using elliptical marquee, Color Fill that circle with Black to be distinct. Using move tool, Drag that CIRCLE/DOT from the new document going to your DOC1 with your circle. Place the dot at the center, free transform it to smaller size, the size you want it to be. Ellipse Frame is also called the Elliptical Marquee, the dotted circular icon from the TOOL menu.… [cont.]
Answered by CHRIS - Tue Dec 23 03:39:54 2008

How can you tell if a circle is a perfect circle?
Q. Well, it won't be a circle if it's not a perfect circle, but how can you be sure something is a perfect circle? Is there a formula?
Asked by Fenella - Mon Jul 7 12:38:15 2008 - - 13 Answers - 1 Comments

A. Maths is not my strong point but I suppose you could find the centre and check the radius is the same at every point at the circumference from the centre of the circle.
Answered by Super-Frog Saves Tokyo - Mon Jul 7 12:41:57 2008

How do you sew a perfect circle?
Q. I'm doing a centre piece, and I have to put a circle in the middle of a Dresden plate.
Asked by slhardy1 - Thu May 11 20:42:21 2006 - - 4 Answers - 0 Comments

A. When I need to sew a perfect circle, I first cut out the circle onto paper. Then you trace the circle onto the wrong side of your fabric. Cut the circle out of the fabric and place it right sides down onto a piece of stabilizer. Sew the circle onto the stabilizer then cut out the circle. I use pinking sheers. Carefully make a slit into the center of the stabilizer side of the circle (be careful not to cut your fabric). Then pull the fabric right sides out and press- this makes a perfect circle every time.
Answered by allysgoodies - Mon May 22 16:49:39 2006

How would I use the unit circle to find the values?
Q. Okay so my math homework says to use the unit circle to find the value sin 90, csc 270, tan 360, and cot (-180). I have no idea what to do can anyone help with only one of these problems?
Asked by patrick o - Wed Jan 21 00:48:32 2009 - - 1 Answers - 0 Comments

A. You first need to draw a unit circle. For sin(90), you should draw a angle of 90 degrees with the x-axis. You'll find that the point intersects at (0,1) By definition, the sin function is the value of the y-coordinate at the intersection of the angle drawn and the unit circle. We would then conclude that sin(90)=1 csc(270)=1/sin(270) so just calculate sin(270) in the same way. Also, the cos function is the same, but we just use the x coordinate
Answered by Sam B - Wed Jan 21 01:25:19 2009

How do I paint a perfect circle using acrylics on canvas?
Q. I thought of taping off the circle and cutting it out with an exact-o knife, but I don't know if that will cut the canvas. Any ideas? PS. I want to fill in the circle, not just paint a line. Thanks Thank you all for the suggestions so far. I don't know if the circle needs to be "perfect", I just want to paint a moon over my dark blue sky (about 18 inches in diameter) without ruining my painting. I'm a fairly new artist as far as acrylics go.
Asked by JerryV - Tue Jan 8 22:50:05 2008 - - 9 Answers - 0 Comments

A. Contact paper. You can get it at hardware stores. Most people use it to cover shelves or line drawers. Cut your perfect circle out of that, leaving PLENTY of room around it or you'll have trouble applying it once the backing paper is removed (depending on how large a circle you want, you may have to tape a few lengths of contact paper together). Now you have a stencil of a circle. Remove the backing paper and apply to the canvas (if it's a big circle, you might want to remove the backing in stages for easier placcement. Make sure the outer edges of the circle are pressed down very well. Then put down a first layer of paint, brushing from the outside in over the edges to help keep the paint from running UNDER your stencil. You may need to… [cont.]
Answered by helene - Wed Jan 9 07:27:20 2008

What is the ratio of the radius of a circle to the side of a pentagon that can be made inside the circle?
Q. In other words, what do I multiply the radius by to find a segment that is one fifth of the circle?
Asked by jurassicbeaver - Thu Jul 2 11:31:50 2009 - - 2 Answers - 0 Comments

A. Assuming the pentagon is a regular pentagon, the two shapes share the same center. If we call the distance from the pentagon's center to one of its corners R, then using some trigonometry, we can find the length of the side in terms of R. Here's a picture of an inscribed pentagon to help you: If we draw R, the line from the center to the vertex, and the apothem, which is the perpendicular bisector of the polygon's side ( we get a right triangle whose sides are R, the radius, A, the apothem, and 1/2 S, half of the side. We know the angles of a regular pentagon measure 108 degrees. Since we have only half of the angle, that angle measures 54 degrees (this is the angle between R and 1/2 S). Using some trig: cos 54 = (1/2 S)/R 1/2 S… [cont.]
Answered by Some Body - Thu Jul 2 11:48:00 2009

What is the circumference of a circle with an area of 36pi square feet?
Q. Can someone explain the steps for me? I'm so confused. I feel like I'm missing information that I need in order to solve this. The other question is backwards: What is the area of a circle whose circumference is 36pi feet?
Asked by Casually Lame - Tue Sep 16 16:00:14 2008 - - 3 Answers - 0 Comments

A. Area = r = 36 so r = 36ft r = 6ft The Circumference = d = 2 r So circumference = 2 (6ft) = 12 ft --- The area of a circle who's circumference is 36 ft Circumference = d = 2 r = 36 ft 2 r = 36 ft You can solve for r r = 18ft Area = r = (18ft) = 324 ft Note: ft = square feet.
Answered by hsueh010 - Tue Sep 16 16:05:38 2008