Question

if the length of eg is 22, find the length of eq. o a. 17 o b. 22 o c. 11 o d. 15

Explanation:

Step1: Identify the diameter and radius relationship

The diameter of a circle is twice the radius. Here, $EG$ is a diameter of the circle with center $Q$.

Step2: Recall the property of a circle's diameter

The center of a circle divides the diameter into two equal - length segments. If $EG$ is the diameter and $Q$ is the center, then $EQ=\frac{1}{2}EG$.

Step3: Calculate the length of $EQ$

Given $EG = 22$, then $EQ=\frac{22}{2}=11$.

Answer:

C. 11