How do you find the area of a square with the radius of 4 cm?

Question

I'm having trouble with this problem. Can someone just guide me through the first few steps ?

Answer 1

Does the square have a circle drawn inside of it? Does the circle have a radius of 4 cm?
If so then the length of one side of the square is twice the radius or 8 cm. A square is defined as having 4 equal sides. So all 4 sides have a length of 8 cm. Area is length x width
Multiply 8 cm x 8 cm
Your answer will be in sq. cm.

Answer 2

You double the radius to get the length of one side and then you multiple that side by its self.
Reasoning
Radius equals 1/2 the distance from the middle
therefore doubling the radius will give u the length of one side
Then you multiple it by its self because the area of a square is
Length X Width = Area,
but in a squre one side is the same as the next so just multiple it by its self

Hope that helps and explains it somewhat

Answer 3

if the radius is 4cm it means that the circumcircle/incircle of the square has a radius of 4cm.
if circumcircle then the length of the square's side=2*radius{which is the length of the diagonal} / square root(2)

area of the square=2*r^2=32sq cm.

if it is the incircle then the side of the square=2*r and thus the area of the square=4*r^2=64sq cm.

Answer 4

the sides of the square would be 8 cm.

so the area is 64 sq. cm.

the radius is the radius of the circle either inscribed in the square or circumscribing the square.
so the diameter of the circle is the length of a side of the square...