SOLUTION: Will plans to use a circular cross section of wood to make a square table. The cross section has a circumference of 336 cm. To the nearest centimeter, what is the side length of th

Question 1064459: Will plans to use a circular cross section of wood to make a square table. The cross section has a circumference of 336 cm. To the nearest centimeter, what is the side length of the largest square that he can cut from it?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Will plans to use a circular cross section of wood to make a square table.
The cross section has a circumference of 336 cm.
To the nearest centimeter, what is the side length of the largest square that he can cut from it?
:
If you draw this out you can see that the diameter is the hypotenuse of the inscribed square
:
Find the diameter from the circumference: = 106.95 cm
:
Let s = the side of the square
s^2 + s^2 = 106.95^2
2s^2 = 11438.3
divide by 2
s^2 = 5719.15
s =
s = 75.62 ~ 76cm

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