SOLUTION: Hi a company logo consists of a white square in a black circle with each corner of the square touching the edge of the circle. If the circle has a diameter of 12 cm what is

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Question 1009935: Hi
a company logo consists of a white square in a black circle with each corner of the square touching the edge of the circle.
If the circle has a diameter of 12 cm what is the length of each side of the square.
thank you

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of the square is the diameter of the circle.
Diameter is 12 cm
These are 45-45-90 triangles of the form 1-1--sqrt (2)
The side length is 12/sqrt(2)=6sqrt(2) after rationalizing the denominator.