Chords and Arcs Circuit Activity – Circle Relationships High School Geometry

Ten circuit problems give high school geometry students practice solving for arc measures using relationships involving central angles, inscribed angles, chords, and arcs.

How it works

Students begin at Problem 1, solve the question, then locate the next problem based on the correct numerical answer. The circuit continues until they return to the starting point.

The format is self-checking. A single error will prevent students from completing the loop correctly.

What’s included

• 10 circuit-style problems focused on chords and arcs
• Student circuit worksheet for recording the problem path and answers
• Student work page for showing work
• Complete answer keys showing the circuit path and numerical solutions
• Teacher notes including prerequisite skills, common student errors, and implementation suggestions

The problems require students to:

• Find unknown arc measures
• Solve for variables using algebraic expressions
• Apply central and inscribed angle relationships
• Use properties of congruent chords and congruent arcs

Skills covered

• Solving for arc measures using central angles and inscribed angles
• Using the relationship between congruent chords and congruent arcs (each one implies the other)
• Writing and solving algebraic expressions involving arcs
• Applying multi-step arc relationships
• Tracking solutions accurately in a circuit format

Quick facts

• Grades: 8–10
• CCSS: HSG-C.A.2, HSG-C.B.5
• Answer key: included

Bundles and related resources

This circuit can be found in my Circles and Conics High School Geometry Curriculum Unit.

Free resources

Get my free Warm Up Slides templates.

Terms of use

By purchasing this product, you own a license for one teacher only for personal use in their own classroom. Licenses are non-transferable and therefore can not be passed from one teacher to another. If the teacher who purchased this license leaves the classroom or changes schools, the license and materials leave with that teacher. No part of this resource is to be shared with colleagues or used by an entire team, grade level, school or district without purchasing the correct number of licenses. If you are a coach, principal or district interested in transferable licenses that would accommodate yearly staff changes, please contact me for a transferable license quote at lindsay@beyondtheworksheet.com.

© Beyond the Worksheet. Please note – all material included in this resource belongs to Beyond the Worksheet Inc. By purchasing, you have a license to use the material but you do not own the material. You may not upload any portion of this resource to the internet in any format, including school/personal websites or network drives unless the site is password protected and can only be accessed by students, not other teachers or anyone else on the internet.