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A square is inscribed in a circle of radius 5 centimeters. What is the value of x^2 + y^2?

 

 Sep 4, 2020
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What is the value of x^2 + y^2?  

 

Draw the diagonal of the square that connects the end points of  x and y. 

 

The line you just drew serves as three components we're interested in. 

 

It's the diagonal of the square. 

It's the diameter of the circle. 

It's the hypotenuse of a right triangle. 

 

Since it's the hypotenuse, its square is equal to the sum of the squares of the other two sides. 

 

The square of the hypotenuse is 102 = 100.  

 

Therefore x2 + y2 = 100  

 

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 Sep 4, 2020

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