Polygons Inscribed in Circles

Polygons Inscribed in Circles is a Grade 7 geometry investigation where students use rulers and protractors to construct regular polygons inside circles. Students divide 360 degrees by the number of sides to position equally spaced vertices, then repeat the process from triangles through polygons with many sides. As side count increases, the perimeter begins to resemble the circle’s circumference more closely.

Use it as a whole-class exploration when students are studying regular polygons, central angles, and circles. The sequence makes it possible to see a visual relationship between polygon perimeter and circumference rather than only discussing it abstractly. Create a free Find a Math Game account to generate teacher-ready lesson support for Polygons Inscribed in Circles. No credit card, with 3 lifetime lesson generations.