SOLUTION: half of a 16 in diameter circle fits snugly inside a rectangular box, how many square inches larger is the area of the box than the area of the circle?

Question 217361: half of a 16 in diameter circle fits snugly inside a rectangular box, how many square inches larger is the area of the box than the area of the circle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
half of a 16 in diameter circle fits snugly inside a rectangular box, how many square inches larger is the area of the box than the area of the circle?
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Draw a diagram of the problem -- label everything you know -- it'll help you see the solution.
.
Area of "half circle"
(1/2)(pi)8^2
= (1/2)(pi)8^2
= 32(pi)
= 100.53 sq inches
.
box:
length is 16
width is 8
Area = width*length
Area = 8*16
Area = 128 sq inches
.
It is larger by:
128 - 100.53 = 27.47 sq inches

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