Problem preview
G-CO.1 Warmup M1-034-A04-V01

Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.

Define a circle using center and radius

Problem

Use center \(O\) and radius \(5~\text{cm}\) to define the circle.

Big Picture

What this problem is really about

A circle is a set of coplanar points satisfying an exact distance condition from one center. We’ll read the center and radius from the diagram, then express membership using an arbitrary point and its distance to the center. Requiring equality, rather than a smaller-or-equal distance, will distinguish the circle itself from the filled disk.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.1
Category
Geometry
Domain
Congruence
Objective
Use precise definitions of angle, circle, perpendicular line, parallel line, and line segment from point/line/distance ideas.
Problem type
Define a circle using center and radius