Question

What is the ratio of the circumferences for two circles with areas 6π m2 and 150π m2?

Answer 1

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^2 = \bigg( \dfrac{Area_1}{Area_2}\bigg)$

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^2 = \bigg( \dfrac{6 \pi }{150 \pi }\bigg)$

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^2 = \bigg( \dfrac{1 }{25}\bigg)$

$\dfrac{Length_1}{Length_2} = \sqrt{ \dfrac{1}{25} }$

$\dfrac{Length_1}{Length_2} = \dfrac{1}{5}$

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Answer: The ratio of the two circles = 1 :5 
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