Question
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.
Answers
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
...
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
...