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find the length of diameter $overline{eg}$. a. 2.5 b. 5 c. 10 d. 25

Question

find the length of diameter $overline{eg}$. a. 2.5 b. 5 c. 10 d. 25

Explanation:

Step1: Recall diameter - radius relationship

The diameter \(d\) of a circle is twice the radius \(r\), i.e., \(d = 2r\).

Step2: Identify the radius

From the figure, the radius \(r= 5\) (distance from the center \(Q\) to a point on the circle, e.g., \(QG = 5\)).

Step3: Calculate the diameter

Using the formula \(d = 2r\), substitute \(r = 5\) into it. So \(d=2\times5=10\).

Answer:

C. 10