Question

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

Answer 1

Explanation:

Ratio of diameters of 2 discs = 2:3 = 2d/3d

So, ratio of radius will be the same,

As, ( 2d/2) / (3d/2) = 2:3 = 2r /3r

=> area of smaller disc = pi ( 2r)²

& area of larger disc = pi ( 3r)²

=> ratio of areas = (pi 4 r² ) / ( pi 9 r² )

= 4:9

Answer 2

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