SOLUTION: Find the perimeter of square which is inscribed in a circle which is also inscribed in another square whose diagonal is 20cm.

Question 1014341: Find the perimeter of square which is inscribed in a circle which is also inscribed in another square whose diagonal is 20cm.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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Find the perimeter of square which is inscribed in a circle which is also inscribed in another square whose diagonal is 20cm.
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Let us start with the square whose diagonal is 20 cm.

Its side measure is .

I will not explain it. It is clear without explanations, isn't it?


Then the diameter of the circle inscribed into this square is  cm. Correct ?


Now consider the square inscribed to the circle whose diameter is  cm.

The diagonal of this square is equal to the diameter  cm.

Hence, the side of this square is  cm = 10 cm.

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