Concentric Circle Equations
The equation of concentric circles can be represented as follows:
- For larger circle with radius R and center at the origin (0,0): x2 + y2 = R2
- For smaller concentric circle with radius r: x2 + y2 = r2
In these equations, the (x, y) coordinates on the plane satisfy the respective circle’s equation defining the points on the circle’s circumference.
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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