The areas of two circles are in the ratio 9 : 4. The ratio of their circumferences is

Question

KollegeApply · Accepted Answer

Let the the radii of the two circles be r and R, the circumferences of the circles be c and C and the areas of the two circles be a and A. Now, "a"/"A" = $\frac{9}{4}$ `=>(pi"r"^2)/(pi"R"^2) = ($\frac{3}{2}$)^2 =>"r"/"R" = $\frac{3}{2}$` Now, the ratio between their circumferences is given by c/C = (2pi"r")/(2pi"R") ="r"/"R" =$\frac{3}{2}$ Hence, the correct answer is option (a)

AChoose Your Answer