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:
- What is the relationship between the radius and the diameter of a circle?
- How does one calculate the circumference of a circle using its diameter?
- What is the area of a circle formula involving the diameter?
- Can a line segment inside a circle longer than the radius be something other than a diameter?
- 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