A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?

a.x=39.2

b.Use whole  wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70  units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square=

Circumference of circle=

Combined area of circle and square,A=

Using the formula

Area of circle=

Area of square=

a.

Differentiate w.r.t x

x=39.2

Again differentiate w.r.t x

>0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used  as a circle . Then, combined area is maximum.

i think it might be a but you might want a second opinion

2,160 π

step-by-step explanation: