Math Problem Statement
Solution
To answer the question based on the diagram provided, let's identify the indicated parts using the given figure:
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Diameter: A line that passes through the center of the circle and touches both ends of the circle. In this figure, the line appears to be the diameter.
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Radius: A line segment from the center of the circle to any point on the circumference. Here, or could be the radius.
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Center: The central point of the circle from which all points on the circumference are equidistant. The point marked represents the center.
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Arc: A curved line that is part of the circumference. The curved line represents the arc.
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Chord: A line segment whose endpoints lie on the circle but does not necessarily pass through the center. seems to be the chord in this figure.
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Semicircle: Half of the circle formed by the diameter. The arc , combined with the diameter, forms the semicircle.
Would you like further details or have any questions?
Here are 5 related questions to expand on this topic:
- What is the relationship between a radius and a diameter in a circle?
- Can a chord also be a diameter?
- How do you calculate the length of an arc in a circle?
- What is the formula for the area of a semicircle?
- How are the central angle and the arc related in a circle?
Tip: The diameter of a circle is always twice the length of the radius.
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Math Problem Analysis
Mathematical Concepts
Geometry
Parts of a Circle
Circles
Formulas
Diameter = 2 * Radius
Arc Length Formula: (θ / 360) * 2πr (where θ is the central angle and r is the radius)
Theorems
A diameter divides a circle into two equal semicircles.
A radius is always half of the diameter.
Any chord longer than the radius must pass through the circle's center.
Suitable Grade Level
Grades 5-7
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