The circumference of the larger circle is approximately 22 meters and the circumference of the smaller circle is approximately 1
1 meters. Use a proportion to find the approximate diameter of the smaller circle. If necessary, round your estimate to the nearest tenth.
1 answer:
Answer: approximately 3.5 meters.
Step-by-step explanation:
Given: Circumference of the smaller circle is approximately 11 meters.
Circumference of a circle = 
, where d= diameter.
Ratio of circumference to diameter = 
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](https://tex.z-dn.net/?f=%5Cpi%3D%5Cdfrac%7B11%7D%7Bd%7D%5C%5C%5C%5C%5CRightarrow%5C%20d%3D%5Cdfrac%7B11%7D%7B%5Cpi%7D%5C%5C%5C%5C%5CRightarrow%5C%20d%3D%5Cdfrac%7B11%5Ctimes7%7D%7B22%7D%5C%20%5C%20%5C%20%5B%5Cpi%3D%5Cdfrac%7B22%7D7%5D%5C%5C%5C%5C%5CRightarrow%5C%20d%3D%5Cdfrac72%3D3.5%5C%20meters)
Hence, the diameter of the smaller circle is approximately 3.5 meters.
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