Answer:
The radius of the circle is 14 inches.
Step-by-step explanation:
How is the circumference of a circle related to its radius?
[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].
In brief,
[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].
For this question,
- [tex]\text{Circumference} = 28\pi[/tex], and
- [tex]\text{Radius}[/tex] needs to be found.
Divide both sides of the equation by [tex]2\pi[/tex]:
[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].
[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].
In other words, the radius of this circle is 14 inches.
