Question

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

Explanation:

Step1: Recall radius - diameter relationship

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius is a line segment from the center of the circle to a point on the circle, and the diameter \(d\) is twice the radius \(r\), i.e., \(d = 2r\) or \(r=\frac{d}{2}\).

Step2: Identify diameter and radius

In the given circle, \(EG\) is a diameter and \(FQ\) is a radius. Given that the length of the diameter \(EG = 5\).

Step3: Calculate the radius

Since \(r=\frac{d}{2}\), substituting \(d = 5\) into the formula, we get \(r=\frac{5}{2}=2.5\).

Answer:

A. 2.5