Select the option that can be used as a one-word substitute for the given group of words. Having a common centre, as circles or spheres
Concentric
Finding the One-Word Substitute for Shapes with a Common Centre
The question asks us to identify the single word that accurately describes multiple circles or spheres that share the exact same central point. This is a common type of vocabulary question where you need to match a phrase or description to a specific term.
Analyzing the Description: Having a Common Centre, as Circles or Spheres
The key phrase here is "Having a common centre". This means that if you have two or more circles or spheres, their central point is located at the same position. Think of targets with multiple rings or layers within each other.
Evaluating the Options for Common Centre
Let's look at the provided options and determine which one fits the description of circles or spheres having a common centre:
- Cylindrical: This term relates to the shape of a cylinder, which is a three-dimensional solid with two parallel circular bases connected by a curved surface. While cylinders involve circles, the term "cylindrical" itself describes the shape of the object, not the arrangement of multiple circles or spheres having a common centre.
- Concentric: This word is used to describe geometric shapes, specifically circles or spheres, that share the same center point. If two circles are concentric, they are centered at the same location. If two spheres are concentric, they also share the same center point. This definition perfectly matches the description "Having a common centre, as circles or spheres".
- Elliptical: This term relates to the shape of an ellipse, which is an oval shape. While an ellipse has a center, the term "elliptical" describes the shape itself. Having multiple elliptical shapes with a common center would be called concentric ellipses, but the term "elliptical" alone does not mean having a common center for circles or spheres.
- Centrifugal: This term is related to physics, describing a force that appears to push an object away from the center of a circular path. It has nothing to do with the geometric arrangement of shapes having a common center.
Comparing the Terms
| Term | Meaning | Fits "Having a common centre, as circles or spheres"? |
|---|---|---|
| Cylindrical | Relating to the shape of a cylinder | No |
| Concentric | Having a common centre (used for circles, spheres, etc.) | Yes |
| Elliptical | Relating to the shape of an ellipse | No (describes shape, not common center arrangement) |
| Centrifugal | Relating to force outward from a center of rotation | No |
Conclusion
Based on the analysis of the terms, the word that accurately describes circles or spheres having a common centre is Concentric.
Therefore, the correct one-word substitute for "Having a common centre, as circles or spheres" is Concentric.
Revision Table: Key Vocabulary
| Term | Definition | Example Context |
|---|---|---|
| Concentric | Sharing a common center point. | Concentric circles on a target board. |
| Cylinder | A 3D shape with two parallel circular bases. | A water pipe is often cylindrical. |
| Ellipse | An oval shape; a closed curve where the sum of the distances from any point on the curve to two fixed points is constant. | Planetary orbits are often elliptical. |
| Centrifugal Force | An apparent force that seems to pull a rotating object away from the center. | Feeling pushed outward on a merry-go-round is due to centrifugal force. |
Additional Information: Concentric Shapes Explained
The concept of concentric shapes is important in geometry and various real-world applications. While the most common examples are concentric circles, the term also applies to spheres, cylinders, and even other shapes like squares or polygons, as long as they are scaled versions centered at the same point.
- Concentric Circles: Rings sharing the same center point. Examples include ripples in water, archery targets, or tree rings.
- Concentric Spheres: Spheres sharing the same center point. Examples include layers within the Earth or shells of an atom model.
- Concentric Cylinders: Cylinders with the same central axis. Examples include pipes within pipes or coaxial cables.
Understanding these geometric terms is useful for both mathematics and everyday descriptions.
Important Questions from One Word Substitution
Select the option that can be used as a one-word substitute for the given group of words.
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Select the option that can be used as a one-word substitute for the given group of words.
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