Question

Rafael was asked to construct a square inscribed in a circle. He drew a circle and a diameter of the circle. Describe how to complete his cinstruction. Then, complete the construction.​

Answer 1

The diameter of the circle must be equal to the diagonal of the square.

Explanation:

In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.

a) Draw a circle with center O

b) Draw the diameter of the circle with end points A and B

c) Draw perpendicular bisector of diameter AB intersecting the circle at point C and D

d) Now connect point A, B, C and D