Apiece of wire x inches long will be bent into the shapes below. write an expression for the enclosed area of a circle in terms of x.

Area of the circle =

Area of square = square inches

Given :

A piece of wire that is x inches long .  It is bent into shape of a circle

Perimeter of circle = x inches

we know that , perimeter of circle =

Now we find area of the circle using the radius

Area of the circle =

Perimeter of square = 4(side)= 4s

4s=x

Divide both sides by 4

Area of square =

Area of square =

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