To find the radius of a circle when the circumference is given, we start with the relationship between the circumference [tex]\( C \)[/tex] and the radius [tex]\( r \)[/tex]. The formula for the circumference of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
In this problem, we are told that the circumference [tex]\( C \)[/tex] is [tex]\( 28 \pi \)[/tex] inches. We can set up the equation:
[tex]\[ 28 \pi = 2 \pi r \][/tex]
To solve for the radius [tex]\( r \)[/tex], we need to isolate [tex]\( r \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by [tex]\( 2 \pi \)[/tex]:
[tex]\[ r = \frac{28 \pi}{2 \pi} \][/tex]
When we simplify the right side of the equation, we see that the [tex]\( \pi \)[/tex] terms cancel out:
[tex]\[ r = \frac{28}{2} \][/tex]
This simplifies to:
[tex]\[ r = 14 \][/tex]
Thus, the radius of the circle is [tex]\( 14 \)[/tex] inches. The correct answer is:
[tex]\[ \boxed{14 \text{ in.}} \][/tex]
