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

The ratio of the circumferences equals the ratio of the radii.

so we need to find their radii

first circle's radius:

pir^2 = 6pi

r = √6

second circle's radius:

pir^2 = 150pi

r = √150

Their ratio is

√6 : √150 =

√6 : √6√25 =

√6 : 5√6 =

1 : 5