Greetings math friends and welcome to MathSux! In this week’s post, we are going to take a step by step look on how a square inscribed in a circle construction works! We got videos, we got GIF’s, and we got a step by step written explanation below, the choice of learning this construction is up to you! Happy Calculating! 🙂
How to Construct a Square Inscribed in a Circle:
Step 1: Draw a circle using a compass.
Step 2: Using a ruler, draw a diameter across the length of the circle, going through its midpoint.
Step 3: Open up the compass across the circle. Then take the point of the compass to one end of the diameter and swing the compass above the circle, making a mark.
Step 4: Keeping that same length of the compass, go to the other side of the diameter and swing above the circle again making another mark until the two arcs intersect.
Step 5: Repeat steps 3 and 4, this time creating marks below the circle.
Step 6: Connect the point of intersection above and below the circle using a ruler. This creates a perpendicular bisector, cutting the diameter in half and forming 90º angles.
Step 7: Lastly, use a ruler to connect each corner point to one another creating a square.
Still got questions? No problem! Don’t hesitate to comment with any questions. Happy calculating! 🙂
Looking for something similar to square inscribed in a circle construction? Check out this post here on how to construct and equilateral triangle here!