Standard #: MAFS.912.G-CO.4.13 (Archived Standard)

Students are asked to construct a regular hexagon inscribed in a circle.

Students are asked to construct an equilateral triangle inscribed in a circle.

Students are asked to construct the center of a circle.

Students are asked to construct a square inscribed in a circle.

A GeoGebra lesson for students to become familiar with computer based construction tools. Students work together to construct a regular hexagon inscribed in a circle using rotations. Directions for both a beginner and advanced approach are provided.

This lesson will engage students with an interactive and interesting way to learn how to inscribe polygons in circles.

Students will learn how to construct an equilateral triangle and a regular hexagon inscribed in a circle using a compass and a straightedge.

This activity allows students to practice the construction process inscribing a regular hexagon and an equilateral triangle in a circle using GeoGebra software.

Students will be able to demonstrate that they can construct, using the central angle method, an equilateral triangle, a square, and a regular hexagon, inscribed inside a circle, using a compass, straightedge, and protractor. They will use worksheets to master the construction of each polygon, one inside each of three different circles. As an extension to this lesson, if computers with GeoGebra are available, the students should be able to perform these constructions on computers as well.

In this lesson, students will construct a square inscribed in a circle using the properties of a square and determine if there is more than one way to complete the construction.

A hands-on activity where students construct inscribed regular polygons in a circle using models. Through guided questions, students will discover how to divide a model (paper plate) into 3, 4, and 6 parts. Using folding, a straightedge, and a compass, they will construct an equilateral triangle, a square, and a regular hexagon in their circles.

Students learn about geometric construction tools and how to use them. Students will partition the circumference of a circle into three, four, and six congruent arcs which determine the vertices of regular polygons inscribed in the circle. An optional project is included where students identify, find, and use recycled, repurposed, or reclaimed objects to create "crafty" construction tools.

St. Pi Day construction with compass

This activity uses a compass and straight-edge(ruler) to construct a design. The design is then used to complete a worksheet involving perimeter, circumference, area and dimensional changes which affect the scale factor ratio.

Learn how to construct an inscribed square in a circle and why certain constructions are used in this interactive tutorial.

Learn how to construct an inscribed regular hexagon and equilateral triangle in a circle in this interactive tutorial.

This problem solving task challenges students to inscribe equilateral triangles and regular hexagons on a circle with a compass and straightedge.

Click "View Site" to open a full-screen version. Geometric constructions using tools such as a compass and straightedge can help students better understand geometric concepts and the underlying principles that govern their relationships. The focus in this tutorial is on the construction of an equilateral triangle, square, and regular hexagon inscribed in a circle.

This geogebratube interactive worksheet shows the step by step process for inscribing a regular hexagon in a circle. There are other geogebratube interactive worksheets for the square and the equilateral triangle.

Learn how to construct an inscribed square in a circle and why certain constructions are used in this interactive tutorial.

Learn how to construct an inscribed regular hexagon and equilateral triangle in a circle in this interactive tutorial.

This problem solving task challenges students to inscribe equilateral triangles and regular hexagons on a circle with a compass and straightedge.

This geogebratube interactive worksheet shows the step by step process for inscribing a regular hexagon in a circle. There are other geogebratube interactive worksheets for the square and the equilateral triangle.

This problem solving task challenges students to inscribe equilateral triangles and regular hexagons on a circle with a compass and straightedge.