Question

Model this function.

Answer 1

The area of the square as a function of radius is given as  A(r) = 2r^2

As given in the question a square is inscribed in a b. So the diagonals of the square will be the diameter of the circle.

The formula for the diagonals of the square is,

                           D = s√2        

                         Where, s = side of the square

And the formula for the diameter of the circle is,

                              D = 2r

                       Where r = radius of the circle

As,     Diagonals of the square = Diameter of the circle

Thus,      s√2 = 2r

                s = 2r/√2

                 s = r√2            (1)

Now, the formula of the area of the square is,

                    A = s^2

Putting the value of s from equation (1) in the above formula we get

                 A = (r√2)^2

                A = 2r^2

Hence the area of the square as a function of radius is given as  A(r) = 2r^2

Learn more about area of square here : brainly.com/question/25092270

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