The term ‘radius’ is commonly associated with circles, not squares. However, if we are to discuss a square in relation to a circle, we can refer to the ‘circumradius’ or the ‘inradius’ of the square.
The circumradius is the radius of the smallest circle that can encompass the square. For a square with a side length of ‘s’, the circumradius (R) can be calculated using the formula:
R = (s * √2) / 2
This results from the fact that the distance from the center of the square to a corner is half the diagonal, which is found using the Pythagorean theorem.
On the other hand, the inradius is the radius of the largest circle that fits within the square, which is simply:
r = s / 2
This means that if you have a square with side length ‘s’, the inradius will always be half that length.
So, while squares do not have a ‘radius’ in the traditional sense, understanding their circumradius and inradius can provide useful insights into their geometric properties.