Answer = 22.64r

If 4r is the radius, then one side of a square is squareroot of (2 (4r)^2).......from Pythagoras theorem

i.e one side of a square is 4r (squareroot of 2)

And perimeter is 4 × one side........

Therefore, the perimeter is 16r × (squareroot of 2)

A circle contains 4 identical squares, as shown below. If each square has a side length equal to 2, what is the radius of the circle?

Construct a circle of radius 1. From a point on the circle, construct another circle of radius 1. Inscribe a square where the two circles overlap. What is the area of the square?

In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram. What is the radius of the inscribed circle?