Answer:
5.97 cm to 3 significant figures.
Step-by-step explanation:
The diameter of the circle will be equal to the length of the diagonal of the square.
Area = 56 = πr^2
r^2 = 56 / π
r = √(56 / π) = 4.222 cm
So the diameter = 8.444 cm.
This is = diagonal of the square so, by The Pythagoras Theorem:
x^2 + x^2 = 8.444^2 where x is the side of the square.
x^2 = (8.444)^2 / 2
x^2 = 35.651
x = 5.971 cm
