SOLUTION: Four circles, each of radius 5 inches, fit tightly in a square 20 inches on a side. Each circle is tangent to two other circles. What is the area, to the nearest tenth of a squar

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Question 77121: Four circles, each of radius 5 inches, fit tightly in a square 20 inches on a side. Each circle is tangent to two other circles. What is the area, to the nearest tenth of a square inch, of the region enclosed by the four circles, at the center of the square
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
What I decided to do is divide the square into 4 equal squares.
Then I look at just 1 circle inside its own square, tangent to
the sides with 4 areas left over in the corners.
The area of the circle is
The area of the square is
The area of 1 of the 4 corner areas is
In the center, ther are 4 of these little corner areas,
so the center area is
in2 answer
To check the answers, there are 16 of the
areas in all, so 4 circles + should equal

OK