What are Concentric Circles?

Concentric circles are a collection of circular shapes positioned such that they all share the same central point but have varying sizes as determined by their respective radii. These circles are akin to a set of ripples expanding outward from a singular source, or like a series of nested circular boundaries within one another.

They maintain a symmetrical arrangement around a common center, resembling a target board or a bullseye pattern, and are frequently employed in various fields, including mathematics, engineering, and design, to depict proportional relationships or as a visual aid in illustrating concepts like depth, layers, or spatial hierarchy.

Read More: Circles in Maths

Concentric Circles Meaning

Concentric circles are circles that share the same center but have different diameters or radii. Picture multiple circles, one inside the other, like a target board. They all have the same midpoint, but their sizes vary. These circles don’t touch each other; they’re just nested within one another. The term “concentric” essentially means having a common center.

Concentric Circles

Concentric circles are defined as two or more circles that share the same center point, known as the midpoint, but each has a different radius. If circles overlap yet have different centers, they do not qualify as concentric circles. According to Euclidean Geometry, two concentric circles must have two different radii. The space between the circumference of these two circles is called the annulus of a circle.

In this article, we will learn about concentric circles, the theorem on concentric circles, the region between the concentric circles, Concentric Circle Equations, and Concentric Circles examples in detail.

Table of Content

  • What are Concentric Circles?
    • Concentric Circles Meaning
  • Concentric Circle Examples
  • Region between Two Concentric Circles
  • Concentric Circle Theorem
  • Concentric Circle Equations
  • Solved Examples on Concentric Circles
  • Practice Questions on Concentric Circles

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What are Concentric Circles?

Concentric circles are a collection of circular shapes positioned such that they all share the same central point but have varying sizes as determined by their respective radii. These circles are akin to a set of ripples expanding outward from a singular source, or like a series of nested circular boundaries within one another....

Concentric Circle Examples

When considering two concentric circles, their defining feature is the sharing of a common center while having different sizes. Imagine a scenario where one circle has a radius of 6 centimeters and another circle is positioned within it with a smaller radius of 3 centimeters....

Region between Two Concentric Circles

Think about two circles. They’re like round shapes, one inside the other sharing the same center but with different sizes. Now, the space between the edges of these circles kind of like the space between two hula hoops is what we call the “region between two concentric circles”....

Concentric Circle Theorem

Concentric Circle Theorem states that, “If the chord of outer circle touches the inner circle at one point, the chord is bisected at the point of contact.”...

Concentric Circle Equations

The equation of concentric circles can be represented as follows:...

Solved Examples on Concentric Circles

Example 1: Two concentric circles have radii of 5 cm and 3 cm. Calculate the area between the two circles?...

Practice Questions on Concentric Circles

Question 1: Two concentric circles have radii 20 cm and 25 cm. Find the perimeter of the region between these circles?...

Concentric Circles – FAQs

What is the Difference Between Concentric and Eccentric Circles?...