Mathematics, 15.11.2019 23:31 2022rickskyye
What is the similarity ratio for two circles with areas 2π m2 and 200π m2?
Answers: 1
and 
be the radii of the two circles with areas 
and 
respectively.![\dfrac{A_1}{A_2}=\dfrac{2\pi}{200\pi}\\\\\\\Rightarrow \dfrac{2\pi r_1^2}{2\pi r_2^2}=\dfrac{1}{100}\\\\\\\Rightarrow \dfrac{r_1^2}{r_2^2}=\dfrac{1}{100}\\\\\\\Rightarrow \dfrac{r_1}{r_2}=\dfrac{1}{10}~~~~~\textup{[taking square root on both sides]}\\\\\\\Rightarrow r_1:r_2=1:10.](/tpl/images/0376/6627/4608f.png)
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What is the similarity ratio for two circles with areas 2π m2 and 200π m2?...
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