The circumference of Circle K is π The circumference of Circle L is 4 π. What is the ratio of their circumferences of their radii of ther areas?

Answer 1

The circumference of Circle K is ( \pi ), which implies its radius ( r_K ) is ( \frac{1}{2} ). For Circle L, with a circumference of ( 4\pi ), its radius ( r_L ) is ( 2 ). The ratio of their radii is ( \frac{r_K}{r_L} = \frac{1/2}{2} = \frac{1}{4} ). The areas of the circles are proportional to the squares of their radii, so the ratio of their areas is ( \frac{(r_K)^2}{(r_L)^2} = \frac{(1/2)^2}{(2)^2} = \frac{1/4}{4} = \frac{1}{16} ).