Circles

Start with circle geometry

The Circle Geometry mind maps offer a place to begin. One brings together angles, chords, cyclic quadrilaterals, tangents and intersecting secants and chords. Another covers relationships involving tangents, radii and angles in the same segment. Read through a map to see which terms and relationships you recognize, then return to any parts that need more attention.

Practice area and circumference

For a focus on measurements, use the Circles, Arcs and Sectors flashcards. They ask about the formulas for area and circumference, as well as radii, sectors and the perimeter of a sector. Follow these with the Area and Circumference of a Circle Quiz, which includes questions about circle measurements and units of area.

The Circles quiz also asks about area, circumference and portions of a circle. Use the questions to identify what you want to study again, then return to the flashcards before trying the quiz another time.

Work on circle theorems

The Circle Theorems flashcards include the relationship between angles at the center and circumference, and the angle in a semicircle. The Geometric Reasoning flashcards cover angle relationships, including angles on a straight line and around a point. These can provide additional practice alongside the circle-specific resources.

Compare a theorem on a flashcard with a related point in a Circle Geometry mind map. The cards give you questions and statements to study, while the maps group related ideas together.

Use the topic within the unit

Circles is a section of Geometry Basics and Shapes in Mathematics. The resources bring together circle measurements and geometric reasoning within that unit. You can move between a map, a flashcard deck and a quiz according to the part of Circles you are studying.

Choose a map and pair it with a quiz for your next study session.