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.

Step-by-step 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,

$\pi=\dfrac{11}{d}\\\\\Rightarrow\ d=\dfrac{11}{\pi}\\\\\Rightarrow\ d=\dfrac{11\times7}{22}\ \ \ [\pi=\dfrac{22}7]\\\\\Rightarrow\ d=\dfrac72=3.5\ meters$

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