Created by Andi Palodichuk
10 questions
9th - 12th Grade
Math
Updated Jul 2026
Parts of a Circle is a free printable Mathematics worksheet for students in Grades 9–12. It uses labeled circle diagrams to assess whether students can identify radii, diameters, chords, secants, tangents, points of tangency, and different types of arcs, including minor arcs, major arcs, and semicircles. The worksheet contains 10 questions: one multiple-select item and nine multiple-choice items. Students apply circle vocabulary to visual representations rather than simply recalling definitions. They select all radii shown, recognize that a chord passing through the center is a diameter, classify lines and segments such as BD, identify a point of tangency, and distinguish arcs by their labeled endpoints and path around the circle. This worksheet is suitable for introducing or reviewing parts of a circle in secondary mathematics and includes a complete answer key for efficient checking.
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WorksheetsAnswer Key, b)
, c)
Diameter
Chord
Secant
Point of Tangency
Chord
minor arc
major arc
Semicircle
Tangent
This worksheet helps Grades 9–12 students identify parts of a circle from labeled diagrams. Its 10 items—one multiple-select question and nine multiple-choice questions—ask students to distinguish radii, diameters, chords, secants, tangents, points of tangency, minor arcs, major arcs, and semicircles.
Introduce the vocabulary with a labeled circle diagram, then model how a segment or line’s position determines whether it is a radius, diameter, chord, secant, or tangent. Have students explain their choices on the worksheet, especially why a chord through the center is a diameter and how the labeled path identifies a minor arc, major arc, or semicircle.
Students may select only one radius when the multiple-select item shows several, or confuse a diameter with an arbitrary chord because both have endpoints on the circle. They may also mistake a secant for a tangent, overlook the point of tangency, or classify an arc by its endpoints without following the labeled route around the circle.
Assign it on Wayground as a printable PDF or as a digital quiz. The worksheet includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time while students practice circle vocabulary.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the labeled diagram questions and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate for your learners.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
