# Constructions: Square Inscribed in a Circle APS

- Author:
- Mrs. Tatum, Edward Knote

- Topic:
- Circle, Constructions, Square

## 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.## Task

Construct a square inscribed within a circle by following the construction steps provided below.

## Construction Steps:

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) |