A wire 360cm is cut into two pieces.One piece is formed into a square and the other is formed into a circle.If two figures have the same area,what are the two lenghts of two pieces of wire( to the nearest hundreth of centimeter?,show all the necessary working clearly.

1 answer

if the square has side s
and the circle has radius r, then

r+s = 360

pi r^2 = (360-r)^2
(pi-1)r^2 + 720r - 129600 = 0

r = 129.85
...