SOLUTION: i have 4 circle all have a radius of 10' they all are touching each other in a square patern what is the square feet of the space in the center of the 4 circles

Question 213076: i have 4 circle all have a radius of 10' they all are touching each other in a square patern what is the square feet of the space in the center of the 4 circles
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
i have 4 circle all have a radius of 10' they all are touching each other in a square patern what is the square feet of the space in the center of the 4 circles
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Connecting the 4 centers of the circles will form a square 20' on a side.
Each of the circles has 1/4 of its area inside the square. The four quarters of the circles are the same area as one of the circles, = pi*r^2.
The area of the square is 400 sq feet.
The space outside the 1/4 circles is 400 - pi*r^2
= 400 - 100*pi
= ~ 85.84 sq feet

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