Question
The perimeter of a circle is equal to the perimeter of a square . Then their areas are in the ratio :
Answer: Option C
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Let the radius of the given circle be R cm and the side of the square be a cm.
Then , `2 pi R = 4a`
`hArr R/a = 2/pi`
Ratio of their area = `(pi R^2)/(a^2) = ( pi xx 4/ pi^2)`
=`(4/22 xx 7) = 14/11 `
= 14 : 11 .
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