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

$Circle with center O and horizontal diameter AB, ready for the next construction step$

To construct a square inscribed in a circle, you first draw a diameter $AB$ . What is the correct next step?

Mark two more points using the same compass radius setting as the hexagon construction

Construct the perpendicular bisector of $AB$ , which passes through center $O$

Draw another diameter at exactly 45° to $AB$ by estimating with a protractor

Bisect arc $AB$ by trial and error until four equal arcs are found