<u>Given</u>:
The circumference of the smaller is 30% of the circumference of the larger circle.
We need to determine the circumference of the larger circle.
<u>Diameter of the larger circle:</u>
The diameter of the smaller circle is 9 in.
Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;
where S is the circumference of the smaller circle and L is the circumference of the larger circule.
Thus, the diameter of the larger circle is 30 inches.
<u>Circumference of the larger circle:</u>
The circumference of the larger circle is given by
Thus, the circumference of the larger circle is 94.2 inches.