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 :

Algebra ->  Circles -> 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 :      Log On


   



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) About Me  (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
Area+of+circle%2FArea+of+square+=+%284a%5E2%2Fpi%29%2Fa%5E2


Area+of+circle%2FArea+of+square+=4%2F%28pi%29