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question 1 of 10 which of the following segments is a radius of ⊙o? a. …

Question

question 1 of 10 which of the following segments is a radius of ⊙o? a. (overline{as}) b. (overline{ao}) c. (overline{st}) d. (overline{aa})

Explanation:

Step1: Recall radius definition

The radius of a circle is a line - segment from the center of the circle to a point on the circle.

Step2: Identify center and points on circle

In circle \(O\), the center is \(O\). Points \(A\), \(R\), \(S\), \(T\) are on the circle.

Step3: Check each option

  • Option A: \(\overline{AS}\) is a chord (a line - segment connecting two points on the circle), not a radius.
  • Option B: \(\overline{AO}\) is a line - segment from the center \(O\) to a point \(A\) on the circle, so it is a radius.
  • Option C: \(\overline{ST}\) is a chord, not a radius.
  • Option D: \(\overline{RA}\) is a chord, not a radius.

Answer:

B. \(\overline{AO}\)