Question

The ratio between the areas of two circles is 16 : 9. Find the ratio between their :

(1) radii
(2) diameters
(3) circumferences

Answer 1

1) Radii=4:3
2) Diameters=8:6
3) Circumferences=4:3




1) Ratio of radii = πR^2/πr^2=16/9
reduce π
Now
R^2/r^2=16/9
(R/r)^2=16/9
Root both sides
R/r=4/3
4:3


2)Diameter= 4*2/3*2
8/6
8:6



3) Circumferences=2πR/2πr
Reduce 2π
R/r=4/3
R/r=4:3