Question

If the diameters of the concentric circles
shown in the figure below are in the ratio 1:2:3 then find the ratio of the areas of three
regions.​

Answer 1

HELLO DEAR,

The diameter of three concentric circles are in the ratio of 1 : 2 : 3

Let the diameter of the three circles be 1 cm, 2 cm and 3 cm respectively.

So, the radii of three concentric circle will be

1/2 cm , 2/2 cm = 1 cm and 3/2 cm

Ratio of their areas = πr₁² : πr₂² : πr₃²

= π*(1/2)² : π*1² : π*(3/2)²

= 1/4 : 1 : 9/4

So the ratio of their respective ratios are 1/4 : 1 : 9/4

I HOPE ITS HELP YOU DEAR,

THANKS