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

Guest Sep 4, 2020

#1**0 **

*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 10^{2} = 100.

Therefore **x ^{2} + y^{2} = 100**

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Guest Sep 4, 2020