Difference between Circle and Sphere


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Difference between Circle and Sphere

There are a few fundamental differences between a circle and sphere which separates them in a lot of ways. Both the circle and sphere are different, even if they are circular objects. Thus, they create a lot of confusion in understanding them. Both seem to be similar, but in reality, they have a vast difference between them. Let us have a deeper understanding of both the terms.

Definition of Circle and Sphere

  • A Circle is a two-dimensional figure whereas, a Sphere is a three-dimensional object.
  • Area of a Circle = π r2 and Area of a Sphere = 4 π r2
  • A circle has no volume and the Volume of a Sphere =4/3π r3
  • A circle has all points at the same distance from its centre along a plane, whereas in a sphere all the points are equidistant from the centre at any of the axes.
  • We can only determine the area in case of a Circle, while in Sphere, we can calculate the surface area as well as volume.

Learn More:

What is the Difference Between Sphere and Circle?

Circle and Sphere Differences
Differentiating Property Circle Sphere
Dimensions Circle is a 2-dimensional figure. Sphere is a 3-dimensional figure.
Area Formula Area of Circle = π r2 Surface Area of a Sphere = 4 π r2
Volume Formula Circle does not have volume. Volume of a Sphere =4/3π r3
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= r2 Equation of a Sphere = (x−h)2+(y−k)2+(z−l)2=r2

Solved Examples

Q.1: What is the area of a circle whose radius is 3 cm?

Solution: Given radius of circle, r = 3 cm

Area of circle =  π r2

Therefore, Area =  π (3)2

A = 9π sq.cm.

Q.2: What is the area of a ball, whose radius is 5 cm?

Solution: A ball is a round-shaped object like a sphere.

Given, the radius of the ball (r) = 5 cm

We know that, area of sphere = 4 π r2

Area of the ball with radius 5 cm = 4 π 52

Area = 100π sq.cm.

Frequently Asked Questions – FAQs

Is a sphere two-dimension?

A sphere is a three-dimensional shape which has an area as well as volume.

How to find the area of the circle?

If r is the radius of the circle, then we can find its area using the formula: Area = π r2

What is the volume of a circle?

A circle does not have volume, it has only circumference and area.

What is the equation of circle and sphere?

The equation of the circle is given by (x−a)2+(y−b)2= r2
The equation of sphere is given by (x−h)2+(y−k)2+(z−l)2=r2