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which of the following is a diameter of the circle above? co ac ab pq

Question

which of the following is a diameter of the circle above?
co
ac
ab
pq

Explanation:

Step1: Recall the definition of a diameter

A diameter of a circle is a straight line passing through the center of the circle and having its endpoints on the circle.

Step2: Analyze each option

  • \(CO\): It is a radius (a line segment from the center \(O\) to a point \(C\) on the circle), not a diameter.
  • \(AC\): It is a chord (a line segment with endpoints on the circle), but it does not pass through the center \(O\), so it is not a diameter.
  • \(AB\): It is a straight - line segment passing through the center \(O\) with endpoints \(A\) and \(B\) on the circle.
  • \(PQ\): It is a chord (a line segment with endpoints on the circle), but it does not pass through the center \(O\), so it is not a diameter.

Answer:

AB