To find the length of segment FG, we need to use the information provided about the distances from the center C to points D, E, F, and G on the circumference of the circle.
Given:
- CH = 42 m
- CF = 58 m
Since C is the center of the circle, the distance from C to any point on the circumference (like F and G) represents the radius of that circle.
Assuming H is another point on the circle, we can infer that both CH and CF are radii of the same circle. However, there seems to be no direct relationship given between points H and G or any specific angles or segments defined.
In general, the distance FG would depend on the arrangement of points, which is not specified here. We can't calculate FG without additional information about the distances or angles between these points on the circumference.
Given these points and their distances mentioned, we might assume a linear layout, but it would not lead to a definitive answer without more details.
Considering the response options, if we consider FG as a direct segment between points F and G, we could work through connecting these distances; however, the exact configuration of points on the circle isn't provided.
In a common geometric setup:
- Distance FG can be calculated if FG is a chord, which would require knowing the other dimensions_related to the angles and other points.
Without loss of generality, a good hypothesis based on distance relationships would be hypothetical standard radius/layout.
If we need an informed guess based on the common radius distribution in a circle, often distances could be approximated to common configurations like 32 m.
Final educated guess based on average spacing in circumferential layouts would lead to the final conclusion of 16 m as one potential length for FG given other dimensions known.
If this was incorrect in respect to your intended diagram/query, we would need the diagram for exact values.
As it stands, I would suggest checking the arrangement, but if seeking minimum conservative estimate from typical values, the answer is 16 m.