Math Problem Statement
Which of the segments below is a diameter?
Solution
To solve the question "Which of the segments below is a diameter?" based on the image:
A diameter of a circle is a straight line passing through the center of the circle and touching two points on its boundary.
Key Observations:
- Circle with center : The segment clearly starts at the center and extends to the edge of the circle at , making it the diameter of the first circle.
- Circle with center : The segment does not pass through (the center), so it is not the diameter of the second circle.
Correct Answer:
The correct segment that is a diameter is .
Would you like further clarification or a step-by-step explanation? Here are five related questions for further exploration:
- What defines the relationship between the radius and the diameter of a circle?
- How can you identify a diameter if the center of the circle is not explicitly marked?
- What is the significance of a chord, and how is it different from a diameter?
- Could ever be considered a diameter in this case? Why or why not?
- How does understanding the properties of circles aid in solving geometry problems?
Tip: Always locate the center of the circle first when identifying a diameter!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Properties of Diameter
Formulas
Diameter = 2 × Radius
Theorems
A diameter is the longest chord in a circle and passes through the center.
Suitable Grade Level
Grades 6-8