Circles and spheres are two geometric figures that share a few similarities yet also have distinct characteristics that set them apart. They are different in a lot of ways. In this article, we'll look at circles and spheres to learn what they are, how they're calculated, and how they differ from one another.
What is a circle?
A circle is a two-dimensional figure that is defined by a set of points that are all the same distance from a given point, known as the center. It is considered a type of line with a collection of points and has the property that every point along the line is uniformly spaced from a fixed point on a plane. It is made up of a closed loop that separates its planes into inner and outer sections.
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The center, circumference, tangent, and chord are some of a circle's many characteristics. The lines that connect the radius to its center represent the radius of that specific circular line, and the letter "r" indicates the radius's length.
What is a sphere?
A sphere is a three-dimensional version of a circle, with all points on its surface being equidistant from the center. A sphere is also composed of a circumference, tangent, and chord, as well as many other characteristics that are related to the three-dimensional shape. The diameter of the sphere is defined as the line joining the far-off edge points. The sphere has no circumference at all. The sphere contains little hemispheres and circles.
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How to calculate the area and volume of circles and spheres?
Area of a Circle = π r2
Area of a Sphere = 4 π r2
(r represents the radius)
A circle has no volume since it is a two-dimensional figure.
Volume of a Sphere = 4/3π r3
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Difference between Circle and Sphere
|
| Circle | Sphere |
| Definition | A planar figure that has all of its points equally spaced from the center. | A completely round and solid figure in which every point on its surface is equally spaced from the center. |
| Dimension | It is a two-dimensional figure. | It is a three–dimensional figure. |
| Components | Only its surface area can be calculated. | Both surface area and volume can be calculated. |
| Area | π r² | 4 π r²
|
| Volume | No volume | Volume = 4/3 π r³ |
| Circumference | 2 π r | No circumference |
| Equation | (x−a)2+(y−b)2= r2 | (x−h)2+(y−k)2+(z−l)2=r2 |
To sum it up, though both being round in shape, circles and spheres are different in every other way. While circles are two-dimensional figures that can be measured by their circumference, spheres are three-dimensional and require the measurement of their volume.
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