Constructions: Square Inscribed in a Circle APS
Explore the geometric properties of a square inscribed in a circle.
Summarize the properties of squares, circles, diameters, chords,and how they would relate if the square is inscribed in a circle, before you start your actual construction. Hint: If you are not familiar with the steps necessary for inscribing square in a circle construction, you might want to explore the applet below. Just use the buttons of the Navigation Bar in order to replay the construction steps.
Construct a square inscribed within a circle by following the construction steps provided below.
|1.||||Construct a circle with center A through B. (circle c)||6.||||Construct a circle with the center at point B and radius of f+.5. (circle e)|
|2.||||Construct segment AB. (segment f)||7.||||Construct the intersection points between circles d & e. (points D & E)|
|3.||||Construct line AB. (line g)||8.||||Construct line DE. (line h)|
|4.||||Construct the intersection point between line g and circle c. (point C)||9.||||Construct the intersection points between line h and circle c. (points G & F)|
|5.||||Construct a circle with the center at point C and radius of f+.5. (circle d)||10.||||Draw Quadrilateral BFCG. (poly1)|