Question

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

Answer 1

`\bigg( (Length_1)/(Length_2) \bigg)^2 = \bigg( (Area_1)/(Area_2)\bigg)`


`\bigg( (Length_1)/(Length_2) \bigg)^2 = \bigg( (6 \pi )/(150 \pi )\bigg)`


`\bigg( (Length_1)/(Length_2) \bigg)^2 = \bigg( (1 )/(25)\bigg)`


`(Length_1)/(Length_2) = \sqrt{ (1)/(25) }`


`(Length_1)/(Length_2) = (1)/(5)`

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