Question

an archery target has three regions formed by three concentric circles. if the diameters of the concentric circles are in the ratio 1:2:3, then find the ratio of the areas of three regions.


please itz urgent!!​

Answer 1

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, their radii will also be in the ratio of 1 : 2 : 3.

Therefore, 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

= 22/7*1/2*1/2 : 22/7*1*1 : 22/7*3/2*3/2

= 1/4 : 1 : 9/4

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

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