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

Posted by Avinash Shandilya 5 years ago

CBSE > Class 10 > Mathematics

2 answers

Richa Shukla 5 years ago

Here are the ratios. So we can't let cm because in question there isn't given unit . So we have to let any constant word like x, a,....etc

1Thank You

Yogita Ingle 5 years ago

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

1Thank You

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