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According to the definition of a circle and sphere, they are both circular; however, while circles are figures, a sphere can be described as an object. It is possible to compare the two with a sketch of the tennis ball on paper and then the ball itself in reality. A circle is considered a 2D representation, while a sphere is a 3D object with volume. You can only determine the surface of a circle, whereas there is a way to determine the volume of a sphere. Earth is an example of a sphere present in the universe. In the following passages, we will understand the definition of a circle and sphere, the equation of a circle and a sphere and the difference between a circle and a sphere.
Circle
A circle in the literal sense means a ring and traces its origin from the Greek word ‘Kirkos’. A circle can be described as a collection of points and has the feature where all the points are at a fixed distance from an exact location on the planar. It is a loop with closed endings, which segregates the plains into two different parts, i.e. inner and outer areas. It is a two-dimensional shape. Circles are a very common object. They are a different type of ellipse whose two Foci points overlap each other, and their eccentricity amounts to zero.
The distinct characteristics of a circular form are its diameter, centre of the tangent, chord and circumference. A circle is measured according to its radius. The radius of a circle can be defined as a straight line that connects the centre and circumference of a circle. The radius is denoted by ‘r’. Some examples of a circle include discs, clocks, and so on.
Sphere
In contrast to circles, a sphere is a common three-dimensional shape. The points of a sphere will be equal to the centre of each point. It is commonly used to determine the surface area, dimensions of the surface area and radius in no time. The diameter of a sphere is a straight line that passes through the centre and connects the two opposite ends of the circumference of a sphere. A sphere is a combination of tiny circles and hemispheres put together. Football, oranges, eyeballs, etc., are some examples of spheres.
Differences Between Circle and Sphere
According to the definition of spheres and circles, they exhibit exact symmetry at their central point. The edges of a circle and the most distant sphere points are precisely separated from their central point (centre). There are some distinctions. For instance, circles are two-dimensional, while a sphere is an item that has three dimensions. The size of the distance between the two most distant locations is called the diameter (and is twice as large as its radius). In this section, we will understand the difference between a sphere and a circle. Moreover, we will examine the mathematical equation between a circle and a sphere.
Differences between a circle and a sphere | ||
Differentiating Property | Circle | Sphere |
Dimensions | A circle is a figure that has two dimensions. | A sphere is three dimensional. |
Area Formula | AREA OF CIRCLE = πr2. | The surface area of a sphere is defined as 4πr2. |
Volume Formula | A circle is not based on volume. | The size of a sphere is equal to (4/3) πr3. |
Circumference Formula | The circumference of a circle is 2πr. | A sphere does not have a circumference. |
Equation | The Circle Equation equals (x – a)2 + (y – b)2 = R2 | Equation of a Sphere = (x – h)2 + (y – k)2 + (z – l)2 = r2 |
What is the equation of a circle and sphere?
In this paragraph, we will understand the equation of circle and sphere.
Equation of a sphere
(x – h)2 + (y – k)2 + (z – l)2 = r2
Equation of a circle
(x – a)2 + (y – b)2 = R2
Conclusion
According to the definition of a circle and sphere, the circle can be described as a two-dimensional object with dimensions X and Y, whereas a sphere is a three-dimensional object with dimensions X, Y and Z within the plane. Discs, clocks, wheels, etc., are a few examples of a circle, whereas football, oranges, eyeballs, etc. are a few examples of a sphere. Both of them may appear the same but have different properties and formulas. A circle does not have a volume but a sphere does. A sphere can be called an object but a circle is just a mere figure. Both are round objects but a circle is on a plane, whereas a sphere is in space. Therefore, both circle and sphere can be easily distinguished by observing the properties of the shape.
