Question

The diameter of two silver discs are in the ratio of 2:3. What will be the ratio of their areas? ​

Answer 1

Answer:

If the diameters of two discs are in the ratio of 2:3, their radii will also be in the same ratio. Hence the ratio of their areas will be in the ratio of 2^2:3^2 or 4:9.

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Answer 2

Answer:

Given,

Ratio of the diameters = 2:3

Let the diameters be 2x and 3x

So, radii of the discs = 2x/2 and 3x/2

= x and 3x/2

Ratio of the area of the discs = πx² / π(3x/ 2)²

=> πx² / π(3x/2)²

=> 4x² / 9x²

=> 4/9

=> 4:9 Ans.

The ratio of the areas of two silver discs will be 4:9.

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