Question

The circumference of the smaller is 30% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth

Answer 1

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;

`S=0.3L`

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

`\pi(9)=(0.3)\pi d`

`9=0.3d`

`30=d`

Thus, the diameter of the larger circle is 30 inches.

Circumference of the larger circle:

The circumference of the larger circle is given by

`C=\pi d`

`C=3.14* 30`

`C=94.2`

Thus, the circumference of the larger circle is 94.2 inches.