Circle and sphere are two geometric shapes that have some similarities but also have distinct characteristics that make them different. They are different in many ways. In this article, we’ll look at circles and spheres to learn what they are, how to calculate them, and how they differ.
What is a circle?
A circle is a two-dimensional figure defined by a set of points that are the same distance from a certain point, called the center. It is considered a type of line with a set of points and has the property that all points along the line are equidistant from a fixed point on the plane. It is made up of a closed loop that separates its planes into inner and outer parts.
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Center, circumference, tangent, and chord are some of the characteristics of a circle. The lines connecting the radius to its center represent the radius of that particular circle, and the letter “r” represents the length of the radius.
What is a sphere?
A sphere is a three-dimensional version of a circle, with all points on its surface equidistant from the center. A sphere also includes a circumference, tangent, and chord as well as many other characteristics related to three-dimensional shape. The diameter of a sphere is defined as the line connecting points far from the edge. The sphere has no circumference at all. The sphere contains hemispheres and small circles.
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How to calculate the area and volume of circles and spheres?
Area of circle = π r2
Area of sphere = 4 π r2
(r represents radius)
A circle has no volume because it is a two-dimensional shape.
Volume of a sphere = 4/3π r3
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Difference between circle and sphere
|
Circle |
Globe |
|
|
Definition |
A plane figure has all points equidistant from the center. |
A completely circular and solid shape in which all points on its surface are equidistant from the center. |
|
Size |
It is a two-dimensional shape. |
It’s a hologram. |
|
The components |
Only its surface area can be calculated. |
Both surface area and volume can be calculated. |
|
Area |
πr² |
4 π r² |
|
Volume |
No volume |
Volume = 4/3 π r³ |
|
Circle |
2 π r |
There is no circumference |
|
equation |
(x−a)2+(y−b)2= r2 |
(x−h)2+(y−k)2+(z−l)2=r2 |
In short, although both are circular, circles and spheres are different in every aspect. While circles are two-dimensional shapes that can be measured by their circumference, spheres are three-dimensional and require measuring their volume.
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Categories: Optical Illusion
Source: pagasa.edu.vn