Question

1. A wire of length x is bent into the shape of a square. Express the area A as a function of x only.

2. A circle of radius x is inscribed in a square. Find the area inside the square but outside the circle as a function of x only.

Answer 1

1. the wire would have to be cut into 4 equal parts, making each side of the square x/4 units long
so Area = (x/4)^2 = x^2 /16

2. In this one, isn't the side of the square equal to 2x (the diameter of the circle) ?
You should be able to take it from here.

Answer 2

So the area would be 4x^2 ?
and the area of a circle is pi * x^2

So would the area be (4-pi) x^2?

Answer 3

yes