Answer:
Option (a) is correct.
radius of circle whose circumference is [tex]12\pi[/tex] inches is 6 inches.
Step-by-step explanation:
Given : circumference of a circle is [tex]12\pi[/tex] inches
We have to find the radius of circle whose circumference is [tex]12\pi[/tex] inches.
Circumference is the distance of the outer path of the circle.
Circumference of circle is given as [tex]2\pi r[/tex]
We know circumference = [tex]12\pi[/tex] inches
Substitute, we get,
[tex]12\pi=2\pi r[/tex] inches
Solving for r,
Divide both sides by [tex]\pi[/tex] , we get,
[tex]12=2 r[/tex] inches
Divide both side by 2, we get,
r = 6 inches
Thus, radius of circle whose circumference is [tex]12\pi[/tex] inches is 6 inches.
Option (a) is correct.
