NounSingular circle Plural circles circle (plural circles)
Synonyms
Derived termsRelated termsFrom Wiktionary under the GNU Free Documentation License. A circle is a simple shape of Euclidean geometry consisting of those points in a plane which are equidistant from a given point called the centre. The common distance of the points of a circle from its center is called its radius. Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure (known as the perimeter) or to the whole figure including its interior. However, in strict technical usage, "circle" refers to the perimeter while the interior of the circle is called a disk. The circumference of a circle is the perimeter of the circle (especially when referring to its length). A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone. From Wikipedia under the
GNU Free Documentation License 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 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 Geometry problem. How can I inscribe a circle inside a figure consisting of three intersecting arcs?
Q. The arcs will either be all convex inward or all concave inward and the inscribed circle must be exactly touching all three arcs. I can get close using AutoCAD and the "trial and error" method, but it seems that there would be a formula or a drafting procedure that would make it simple, quick and accurate every time. If there are any math geniuses out there, consider this a challenge. I have not been able to solve this for a few days now. Asked by Surveyor - Wed Dec 19 14:14:15 2007 - - 3 Answers - 0 Comments A. The radius of two tangent circles are both perpendicular to the (common) tangent at the point of tangency, then the point of tangency and both centers lie on the same straight line. The problem is to find the coordinates of the center and the radius of the incribed circle. We have three unknown numbers, then we have to write down three equations. The distance from the center of the inscribed circle to the three points of tangency is the same, and is the radius. Using the fact that the centers and the point of tangency are colinear, the radii and the distance between centers must satisfy that: | r1 [(x1-x4) +(y1-y4) ] | = r4 Where x4, y4, and r4 are the coordinates of the center and the radius of the inscribed circle (the unknowns) [cont.] Answered by GusBsAs - Thu Dec 20 09:06:33 2007 From Yahoo Answer Search: "circle" Horse found shot to death at Circle B Farm
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