Question

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

Answer 1

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