Math Problem Statement

Which circle shows a diameter?

Solution

To identify which circle shows a diameter, let’s first clarify what a diameter is:

A diameter is a line segment that passes through the center of a circle and has its endpoints on the circle's circumference. This means it is the longest line segment that can be drawn within a circle.

From your image:

  • Circle A has a line that does not pass through the center.
  • Circle B has a line that passes through the center and extends to the edges on both sides, meaning it is a diameter.
  • Circle C has a line from the center to the edge, which is a radius, not a diameter.
  • Circle D has an arrowed line that is also a radius since it extends only from the center to the edge on one side.

Answer: The correct answer is B, as it shows a diameter.

Would you like further details or have any questions?


Here are five questions to deepen your understanding:

  1. What is the relationship between the radius and the diameter of a circle?
  2. How does one calculate the circumference of a circle using its diameter?
  3. What is the area of a circle formula involving the diameter?
  4. Can a line segment inside a circle longer than the radius be something other than a diameter?
  5. What are the properties of a circle that make the diameter unique?

Tip: Remember, the diameter of a circle is always twice the radius.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Diameter of a circle = 2 x radius

Theorems

Definition of Diameter

Suitable Grade Level

Grades 6-8