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An annulus is a geometrical shape that is defined as the region bounded by two concentric circles. The word “annulus” comes from the Latin word “annulus,” which means “little ring.” The term is often used in mathematics and physics to refer to this specific type of geometric shape.

A common example of an annulus is a ring, such as a wedding ring or a ring on a finger. An annulus can also be thought of as the region between the inner and outer edges of a tire.

In mathematics, the area of an annulus is calculated by subtracting the area of the smaller circle from the area of the larger circle. The formula for calculating the area of an annulus is:

Area = ? * (R2 – r2)

where R is the radius of the larger circle and r is the radius of the smaller circle.

There are several different types of annulus that can be defined based on the properties of the concentric circles. Some of the most common types of annulus include:

1. Uniform annulus: These are annulus in which the concentric circles have the same radius.
2. Non-uniform annulus: These are annulus in which the concentric circles have different radii.
3. Concentric annulus: These are annulus in which the centers of the concentric circles are located at the same point.
4. Eccentric annulus: These are annulus in which the centers of the concentric circles are not located at the same point.
5. Simple annulus: These are annulus in which the concentric circles do not intersect each other.
6. Complex annulus: These are annulus in which the concentric circles intersect each other.

Here are five examples of annulus in different contexts:

1. A wedding ring is an annulus that is typically made of precious metal and worn on the finger as a symbol of marriage.
2. The iris of the eye is an annulus that is responsible for controlling the amount of light that enters the eye.
3. A tire is an annulus that is made of rubber and is used to support the weight of a vehicle and provide traction on the road.
4. The annulus fibrosus is a layer of tissue in the spine that helps to hold the vertebrae in place and provide support for the spine.
5. The cross-section of a tree trunk is often an annulus, with the outer ring representing the bark and the inner ring representing the wood.

Now, here is a 10-question quiz to test your understanding of annulus:

1. What is an annulus?
2. How is the area of an annulus calculated?
3. Name five different types of annulus.
4. What is the iris of the eye?
5. What is the function of the annulus fibrosus in the spine?
6. What is a tire made of?
7. What is the cross-section of a tree trunk often shaped like?
8. What is the function of a wedding ring?
9. What is the outer ring in the cross-section of a tree trunk called?
10. What is the inner ring in the cross-section of a tree trunk called?