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find the length of diameter (overline{eg}). options: a. 25 b. 5 c. 10 d…

Question

find the length of diameter (overline{eg}).

options:
a. 25
b. 5
c. 10
d. 25

Explanation:

Step1: Recall diameter - radius relation

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

Step2: Identify the radius

From the figure, the radius $r$ of the circle is $5$ (the length from the center $Q$ to a point on the circle, e.g., $QG = 5$).

Step3: Calculate the diameter

Substitute $r = 5$ into the formula $d=2r$. So $d=2\times5 = 10$.

Answer:

C. 10