Problem preview
G-CO.13 Warmup M1-036-A08-V01

Construct an equilateral triangle, square, and regular hexagon inscribed in a circle.

Find the central angle of a regular polygon

Problem

Use the displayed inscribed regular polygon. Determine the central angle between adjacent vertices.

Big Picture

What this problem is really about

The key distinction is where the angle’s vertex lies: at the polygon or at the circle’s center. We’ll count the equally spaced circle vertices, partition one full turn into that many congruent sectors, and compute one sector without confusing it with an interior angle of the polygon.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.13
Category
Geometry
Domain
Congruence
Objective
Construct an equilateral triangle, square, and regular hexagon inscribed in a circle.
Problem type
Find the central angle of a regular polygon