side length of square = 8
perimeter of square = 4*(side length) = 4*8 = 32
perimeter of square = perimeter of circle = circumference = 32 cm
circumference formula is
C = 2pi*r
32 = 2pi*r .... plug in the given circumference
32/(2pi) = (2pi*r)/(2pi) .... divide both sides by 2pi
16/pi = r
r = 16/pi
r = 16/pi = the exact radius in terms of pi
r = 5.092958 = the approximate value of the radius
The units for the radius are in centimeters.
