SOLUTION: I have four circles each with a 10 foot radius, they are put togeather to form a squire of circles what I need to know is the squire foot of the waste in the very middle

Algebra ->  Circles -> SOLUTION: I have four circles each with a 10 foot radius, they are put togeather to form a squire of circles what I need to know is the squire foot of the waste in the very middle      Log On


   



Question 221262: I have four circles each with a 10 foot radius, they are put togeather to form a squire of circles what I need to know is the squire foot of the waste in the very middle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I have four circles each with a 10 foot radius, they are put together to form a square of circles.
What I need to know is the square foot of the waste in the very middle.
:
Picture a single circle a radius of 10, inscribed in a single square, a side of 20
Find the area of the square, subtract the area of the circle
:
(20^2) - (pi*10^2) =
400 - 314.159 = 85.84 sq/ft; the total wasted in a all 4 corners
:
This is also the total of the 4 corners from the 4 circles described
therefore
85.84 sq/ft wasted
;
Did this make sense to you?