SOLUTION: The area of a circle is 3/4 area of a square. One side of the square has length 2 square root(6pi).Find the length of the diameter of the circle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The area of a circle is 3/4 area of a square. One side of the square has length 2 square root(6pi).Find the length of the diameter of the circle.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 388630: The area of a circle is 3/4 area of a square. One side of the square has
length 2 square root(6pi).Find the length of the diameter of the circle.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circle is 3/4 area of a square. One side of the square has
length 2 square root(6pi).Find the length of the diameter of the circle.
...
length of side of square = 2sqrt%286%2Api%29
Area of square =%282sqrt%286%2Api%29%29%5E2
Area = 4 * 6*pi
Area = 24pi.
...
Area of circle = 3/4 * 24 *pi
Area = 18pi
..
pi*r^2=18pi
divide by pi
r^2=18
r=sqrt%2818%29
r=4.24
diameter = 2*4.24= 8.48