The length of segment A.F in the circles given is: 62 units.
What is the Radius of a Circle?
A radius of a circle is half the diameter of a circle, which is a point from the center to any point on the circumference of the circle. This implies that any segment that is drawn from the center of a circle to any point on the circumference of a circle is a radius. Also, all radii of a circle are always congruent to each other.
Radius of circle B = AB = BD = 24 units [all radii of a circle are congruent to each other].
Radius of circle E = CE = EF = 9 units [all radii of a circle are congruent to each other].
CD = 4
DE = x
CD + DE = CE
Plug in the values into the equation
4 + x = 9
x = 9 - 4
x = 5
DE = 5
The length of segment DE is 5 units
A.F = AB + BD + DE + EF
Plug in the values into the equation
A.F = 24 + 24 + 5 + 9
A.F = 62 units.
Therefore, the length of segment A.F in the given circle is determined as: 62 units.
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