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The circumference of a circle is equal to the perimeter of a square, then their areas are in the ratio

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$4 : π$

$π : 4$

$2 : π$

$π : 2$

answer is A.

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Detailed Solution

$2 π r = 4 a$

$⇒ r = 4 a 2 π$

$⇒ r = 2 a π$

Areal of a circle

$:$

Area of a square

$= π r 2 : a 2 = π 2 a π 2 : a 2 = π 4 a 2 π 2 : a 2$

$= 4 a 2 π : a 2$

$= 4 a 2 π a 2 1$

$= 4 π$

$= 4 : π$

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