What is the Difference Between Circle and Sphere?
🆚 Go to Comparative Table 🆚The main difference between a circle and a sphere lies in their dimensions and properties. Here are the key differences:
- Dimensions: A circle is a two-dimensional (2D) figure, while a sphere is a three-dimensional (3D) object.
- Area and Volume: A circle has no volume, and its area can be calculated using the formula $$A = \pi r^2$$, where $$A$$ represents the area and $$r$$ represents the radius of the circle. In contrast, a sphere has both surface area and volume, with the surface area calculated using the formula $$A = 4 \pi r^2$$ and the volume calculated using the formula $$V = \frac{4}{3} \pi r^3$$.
- Equidistance: In a circle, all points on the curve are equidistant from the center along a plane. In a sphere, all points on its surface are equidistant from the center in any direction.
The following table summarizes the differences between a circle and a sphere:
Property | Circle | Sphere |
---|---|---|
Definition | A closed curved line with all points at a fixed distance from a fixed point | A round object in space with all points at equal distances from its center in 3D space |
Dimensions | 2-Dimensional | 3-Dimensional |
Area Formula | $$A = \pi r^2$$ | $$A = 4 \pi r^2$$ |
Volume Formula | None (has no volume) | $$V = \frac{4}{3} \pi r^3$$ |
Examples of circles include circular walkways and clocks, while examples of spheres include tennis balls, oranges, and eyeballs.
Comparative Table: Circle vs Sphere
Here is a table comparing the differences between a circle and a sphere:
Property | Circle | Sphere |
---|---|---|
Dimensions | 2-dimensional | 3-dimensional |
Area Formula | Area of Circle = π r^2 | Surface Area of a Sphere = 4 π r^2 |
Volume Formula | Circle does not have volume. | Volume of a Sphere = 4/3 π r^3 |
Diameter Formula | Diameter of a Circle = 2 r | Diameter of a Sphere = 2 r |
Circumference Formula | Circumference of a Circle = 2 π r | Sphere does not have the circumference. |
Equation | Equation of a Circle = (x - a)^2 + (y - b)^2 = r^2 | Equation of a Sphere = (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 |
A circle is a 2-dimensional figure, while a sphere is a 3-dimensional figure. A circle has no volume, but a sphere does. The area of a circle can be calculated using the formula: Area of Circle = π r^2, and the surface area of a sphere can be calculated using the formula: Surface Area of a Sphere = 4 π r^2. The volume of a sphere can be calculated using the formula: Volume of a Sphere = 4/3 π r^3.
- Ball vs Sphere
- Circle vs Ellipse
- Diameter vs Radius
- Circumference, Diameter vs Radius
- Circular Motion vs Spinning Motion
- Rotation vs Revolution
- Circumference vs Perimeter
- Ellipse vs Oval
- Hyperbola vs Ellipse
- Orbit vs Orbital
- Circular Motion vs Rotational Motion
- Heliocentric vs Geocentric
- Map vs Globe
- Coordination Entity vs Coordination Sphere
- Eccentricity vs Concentricity
- Inner vs Outer Sphere Mechanism
- Cartesian Coordinates vs Polar Coordinates
- Radian vs Degree
- Round vs Around