SOLUTION: if the circumference of a circle of radius 'r' and the perimeter of a square of side 'a' are equal, then the ratio of area of the circle to that of square is :

Question 936870: if the circumference of a circle of radius 'r' and the perimeter of a square of side 'a' are equal, then the ratio of area of the circle to that of square
is :
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
if the circumference of a circle of radius 'r' and the perimeter of a square of side 'a' are equal, then the ratio of area of the circle to that of square
is :
circumference = 2 pi r
perimeter of square = 4a
2pir = 4a
pi r = 2a
r= 2a/pi
r^2 = 4a^2/pi^2
pi * r^2 = 4a^2*pi/pi^2
Area of circle = 4a^2/pi
Area of square = a^2

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