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?
Solution:
Area between two concentric circles is the difference in the areas of the larger circle and the smaller circle.
Given:
- Radius of the larger circle, R1 =5 cm
- Radius of the smaller circle, R2 = 3 cm
Area of the larger circle is A1 = R12 = π52 = 25π cm2
Area of the smaller circle is A2 = R22 = π32 = 9π cm2
Area between the two circles = A1 − A2 = 25π − 9π= 16π cm2
Therefore, the area between the two concentric circles is 16π cm2
Example 2: Draw two concentric circles with radii 2 cm and 5 cm?
Solution:
Concentric circle with radius 2 cm and 5 cm is,
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