Question

The circumference of a circle is 50 cm. determine the length of a side of a square inscribed this circle

Answer 1

The radius of the circle = circumference / (2 * PI)
radius = 50 / 6.2831853072 cm
radius = 7.9577471546 cm


Two radii of the circle plus the side of the square form a 45 45 90 triangle.
The side of the square = radius * sq root (2)
The side of the square = 7.9577471546 * 1.4142135624

The side of the square = 11.25 cm