Question

A wire 390 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

Answer 1

Step-by-step explanation:

Below is an attachment containing the solution.

Answer 2

Answer:

Step-by-step explanation:

Let x is the length of the square side.

We know: the two figures have the same area

<=> $x^{2}$ = π$r^{2}$ (r being radius)

<=> x = $\sqrt{II}$ r

perimeter square = 4x = 4*r*$\sqrt{II}$

perimeter circle = 2*r*π

<=> 390 = 4*r*$\sqrt{II}$  + 2*r*π

<=> r = 29.16

=> perimeter square =  4*29.16*π

=> perimeter circle = 58.32π