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In the context of geometry, which of the following statements about circles is t

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Question: In the context of geometry, which of the following statements about circles is true?

Options:

  1. A circle is defined by its radius alone.
  2. The diameter of a circle is twice the radius.
  3. All points on a circle are equidistant from the center.
  4. A circle can have more than one center.

Correct Answer: The diameter of a circle is twice the radius.

Solution:

The diameter of a circle is indeed twice the radius, making this statement true.

In the context of geometry, which of the following statements about circles is t

Practice Questions

Q1
In the context of geometry, which of the following statements about circles is true?
  1. A circle is defined by its radius alone.
  2. The diameter of a circle is twice the radius.
  3. All points on a circle are equidistant from the center.
  4. A circle can have more than one center.

Questions & Step-by-Step Solutions

In the context of geometry, which of the following statements about circles is true?
  • Step 1: Understand what a circle is. A circle is a shape where all points are the same distance from the center.
  • Step 2: Learn about the radius. The radius is the distance from the center of the circle to any point on the circle.
  • Step 3: Learn about the diameter. The diameter is the distance across the circle, passing through the center. It is the longest distance across the circle.
  • Step 4: Know the relationship between diameter and radius. The diameter is always twice the length of the radius.
  • Step 5: Conclude that if you have the radius, you can find the diameter by multiplying the radius by 2.
  • Circle Properties – Understanding the relationship between the diameter and radius of a circle.
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