Back to Construct regular polygons in circle — Problem 2 · Task Set 13

Exercises: Construct Regular Polygons Inscribed in a Circle

Grade 9·18 problems·~28 min·Common Core Math - HS Geometry·standard·hsg-co-d-13

Work through problems with immediate feedback

Fluency Practice

A student constructs a hexagon by walking the compass around the circle. After marking 3 vertices correctly with the compass set to the radius $r$ , she resets the compass to a shorter width before marking the remaining vertices. Which statement best identifies her error?

She should have started at a different point on the circle

She should not change the compass width; the side of an inscribed regular hexagon always equals the radius

Six arcs will not fit evenly because small errors accumulate, so adjusting is fine

She marked too many vertices — a hexagon only needs 5 arcs