Given:
The circumference of the smaller is 30% of the circumference of the larger circle.
We need to determine the circumference of the larger circle.
Diameter of the larger circle:
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;
[tex]S=0.3L[/tex]
where S is the circumference of the smaller circle and L is the circumference of the larger circule.
[tex]\pi(9)=(0.3)\pi d[/tex]
[tex]9=0.3d[/tex]
[tex]30=d[/tex]
Thus, the diameter of the larger circle is 30 inches.
Circumference of the larger circle:
The circumference of the larger circle is given by
[tex]C=\pi d[/tex]
[tex]C=3.14\times 30[/tex]
[tex]C=94.2[/tex]
Thus, the circumference of the larger circle is 94.2 inches.
