a sphere is 3D and a circle is 2D, a sphere is like a ball or a globe, a circle is just drawing one on the paper.
2007-06-16 05:42:20
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answer #1
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answered by ~~kelly~~ 6
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EXAMPLE - Soap Bubble - it's a sphere because it's a surface. A Ball is NOT a sphere. In Mathematics a ball is actually called a BALL. The same goes for a circle. If you include the middle bit, then in mathematics this is called a DISK. Check Planet Math or Wolfram MathWorld for RELIABLE Mathematics Definitions
A sphere is the surface of a 3-D ball. And a circle is the contour of a 2-D disk.
The similarities are that they are both "round" i.e. each point on a sphere is an equal distance to the center - the same for a circle. So they both have a radius. Another similarity is that they are both
NOT SOLID.
Anyway - have a BALL of a time!! ha ha, yep I guess it is another lame maths joke!! Well, it won;t get you ROLLING around on the floor but ... arrghhh forget it!
EXAMPLE of a circle - slice the sphere -it's a circle. In nature it's hard to find an example because a circle is 2-D and we live in a 3-D world. :0
2007-06-16 05:46:18
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answer #2
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answered by emin8r 2
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For the purposes of high school geometry, saying that a circle is 2D and a sphere is 3D is probably sufficient.
But I hate to leave questions technically incorrect, so I'm going to be an annoying pedant for just a minute here and argue from the perspective of differential geometry.
I disagree with the claim that a circle is 2D and a sphere is 3D. My counterclaim is that a circle is a 1D object embedded in a 2D space. Likewise, a sphere is a 2D object embedded in a 3D space.
You can parameterize a circle by one variable. We do it all the time; the unit circle is given by x = cos(t), y = sin(t). Given just one variable, we can pinpoint any location on that circle. That's the definition of a one-dimensional object. The reason we need two dimensions to draw it is that a circle has curvature that can only be seen in two dimensions. But if you were a particle on a circle and you traveled around it, you wouldn't see any curvature. You would just see a straight line that never ends.
The sphere is analogous. (A common grade-school misconception is that a sphere contains its interior; it does not. That object is often called a ball. A sphere is just a shell). We can pinpoint any location on the earth by its longitude and latitude: two variables. Thus a sphere is a two dimension object with curvature that can only be seen in three dimensions. If you were a two-dimensional creature living on a sphere, it would look like a plane. We only know it's not a plane because we can see and measure the curvature.
I make a big deal out of this because it helps us understand what Einstein meant when he said our perceivable universe is a 3D object embedded in a higher dimensional space.
2007-06-16 06:03:06
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answer #3
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answered by TFV 5
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a sphere has volume while circle doesn't
and spheres are space figures/shape while circles are plain figures
for more wider explanation:
Circle is the set of all points in a plane at a fixed distance, called the radius, from a given point, the centre.
Circles are simple closed curves which divide the plane into an interior and exterior. The circumference of a circle means the length of the circle, and the interior of the circle is called a disk. An arc is any continuous portion of a circle.
A circle is a special ellipse in which the two foci coincide (i.e., are the same point). Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
sphere is a perfectly symmetrical geometrical object. In non-mathematical usage, the term is used to refer either to a round ball or to its two-dimensional surface. In mathematics, a sphere is the set of all points in three-dimensional space (R3) which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.
This article deals with the mathematical concept of a sphere. In physics, a sphere is an object (usually idealized for the sake of simplicity) capable of colliding or stacking with other objects which occupy space.
2007-06-16 05:47:37
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answer #4
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answered by Anonymous
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A circle is a plane figure and has only two dimensions. Its measurement is area or square units. All of the points of a circle lie on the same flat surface.
A sphere is a three dimensional figure having a volume that is measured in cibic units. The Earth, Moon, and Sun are close examles to a sphere. You couldn't live on an Earth that was a circle because it would be pefectly flat and have no thickness. There could be no plants ,roads, houses.etc.
But a sphere has thickness. The Earth allows you to dig oil wells, swim in the ocean, etc because it has a third dimension.
2007-06-16 05:58:03
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answer #5
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answered by ironduke8159 7
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A circle is 2 Dimensional
a
&& a sphere is 3 Dimensional
2007-06-16 05:51:49
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answer #6
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answered by mE 2
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In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a given point, the centre.
Circles are simple closed curves which divide the plane into an interior and exterior. The circumference of a circle means the length of the circle, and the interior of the circle is called a disk. An arc is any continuous portion of a circle.
A circle is a special ellipse in which the two foci coincide (i.e., are the same point). Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
A sphere is a perfectly symmetrical geometrical object. In non-mathematical usage, the term is used to refer either to a round ball or to its two-dimensional surface. In mathematics, a sphere is the set of all points in three-dimensional space (R3) which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.
This article deals with the mathematical concept of a sphere. In physics, a sphere is an object (usually idealized for the sake of simplicity) capable of colliding or stacking with other objects which occupy space
SO
A ciclre exists in a plane. A shere exists in three dimensions.
2007-06-16 05:43:31
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answer #7
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answered by RScott 3
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A sphere is 3 dimensional and a circle is not. The 3 dimensions is hight, width, and depth. For example a baseball, tennis ball, any ball that is sphere. In life, anything that has a mass, and is perfectly round is a sphere.
A circle however is 2 dimensional. Drawing an "O" on a piece of paper would be considered a circle and not a sphere. You cant actually pick up a circle unless it was drawn on its own plane (like a piece of paper). Since its 2 dimensional, it is impossible to be seen in a 3 dimensional world (like ours) unless drawn on a plane. Having it be on a plane takes out the 3rd dimension of depth, so all you see is hight and width.
2007-06-16 05:53:03
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answer #8
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answered by Brent T 1
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A sphere is a 3 dimensional object like a basket ball or something. A circle is one dimensional like when you make a zero on a piece of paper.
2007-06-16 05:45:48
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answer #9
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answered by mr_o_thing 1
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A sphere is a three dimensional object and is obtained by rotating a circle around its diameter. A tennis ball is an approximate example of a sphere. Soap bubbles are spherical too.
2007-06-16 05:43:31
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answer #10
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answered by Swamy 7
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