Question

The circumference of the larger circle is approximately 22 meters and the circumference of the smaller circle is approximately 11 meters. Use a proportion to find the approximate diameter of the smaller circle. If necessary, round your estimate to the nearest tenth.

Answer 1

Answer: approximately 3.5 meters.

Explanation:

Given: Circumference of the smaller circle is approximately 11 meters.

Circumference of a circle =
`\pi d` , where d= diameter.

Ratio of circumference to diameter =
`\pi`

As per given,

`\pi=(11)/(d)\\\\\Rightarrow\ d=(11)/(\pi)\\\\\Rightarrow\ d=(11*7)/(22)\ \ \ [\pi=\frac{22}7]\\\\\Rightarrow\ d=\frac72=3.5\ meters`

Hence, the diameter of the smaller circle is approximately 3.5 meters.