Question

points f and g lie on a circle with center h, segment fg is a diameter of the circle. if the length of segment fg is 82 centimeters, what is the length, in centimeters, of segment fh?

Explanation:

Step1: Recall circle properties

In a circle, the radius is half the diameter. \(FH\) is a radius, \(FG\) (diameter) \( = 82\) cm.

Step2: Calculate radius \(FH\)

Use formula \(r=\frac{d}{2}\), where \(d = FG = 82\), so \(FH=\frac{82}{2}=41\).

Answer:

41