Math Problem Statement

Which of the segments below is a diameter?

Solution

In this image, you're asked to identify which of the segments is a diameter of the circle.

A diameter is a straight line that passes through the center of the circle and touches two points on the circle's circumference. The center of the circle is marked as point OO.

Looking at the diagram:

  • Segment DO\overline{DO} connects point DD to the center OO. However, it does not reach the opposite side of the circle, so it is not a diameter.
  • Segment SD\overline{SD} connects points SS and DD, but neither touches the center OO, so it cannot be a diameter.
  • Segment CS\overline{CS} is another chord but does not pass through OO, so it isn't a diameter either.
  • Segment SL\overline{SL} connects SS to LL, but doesn't pass through the center OO, so it's also not a diameter.

From the diagram, none of the listed segments is a diameter. However, since no other clear diameters are shown, the correct answer should involve a line that passes through OO and reaches the circumference on both sides.

Would you like more details on how to identify diameters or ask any specific questions?

Here are 5 questions to think about:

  1. What is the relationship between the center of a circle and its diameter?
  2. Can a radius ever be a diameter? Why or why not?
  3. What is the difference between a chord and a diameter?
  4. How do we calculate the length of a diameter if the radius is given?
  5. What is the significance of a line passing through the center of a circle?

Tip: The diameter is always the longest chord in a circle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Diameter

Formulas

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Theorems

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Suitable Grade Level

Grades 7-10