Final Answer:
The radius of circle T is twice the radius of circle S. The circumference of circle T is four times the circumference of circle S. Mathematically, if
is the radius of circle T and
is the radius of circle S, then
and

Explanation:
In this scenario, the relationship between the two circles, T and S, is established based on their circumferences and radii. The formula for the circumference of a circle,
, where
is the circumference and
is the radius, is utilized.
The given information asserts that the circumference of circle T
is four times that of circle S
, expressed as
. By substituting the circumference formula,
, into this relationship, the radius of circle T
is found to be twice the radius of circle S
), denoted as

In essence, the radii of the circles follow a simple proportion, where the radius of T is double that of S. This relationship is fundamental to understanding the scaling between the two circles. Consequently, the circumferences are also related by a factor of four, emphasizing the direct proportionality between the radii and circumferences of circles T and S in this mathematical context.