Free Printable WorksheetMathGeometryMath CurriculumG-C.A.2

GEO.116 Central angles and arc measures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.116 Central angles and arc measures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.116 Central angles and arc measures - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct relationship between a central angle and its intercepted arc and determine an unknown measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.116 Central angles and arc measures skill assessments:

Problem 1Difficulty: Mastery
A 270-degree arc is named using the same endpoints as a minor arc. Which conclusion is most precise?
AThe minor central angle with those endpoints is 270 degrees.
BThe 270-degree arc is a major arc, and the minor central angle is 90 degrees.
CBoth arcs with those endpoints measure 270 degrees.
DThe central angle must be half of 270 degrees.
Solution & Explanation:A 270-degree arc is the major arc for those endpoints. The other arc is 360 - 270 = 90 degrees, so the minor central angle is 90 degrees.
Problem 2Difficulty: Mastery
Two circles have different radii, but each has a central angle measuring 82 degrees. What is true about the degree measures of the intercepted arcs?
AThe larger circle has a larger arc measure in degrees.
BThe smaller circle has a larger arc measure in degrees.
CBoth intercepted arcs measure 82 degrees.
DThe arc measures depend on circumference, so they cannot be compared.
Solution & Explanation:Arc length may change with radius, but arc measure in degrees equals the central angle. Each intercepted arc measures 82 degrees.
Problem 3Difficulty: Mastery
A minor arc measures 135 degrees. What is the sum of the central angle that intercepts it and the major arc with the same endpoints?
A225 degrees
B270 degrees
C315 degrees
D360 degrees
Solution & Explanation:The central angle is 135 degrees, and the major arc is 360 - 135 = 225 degrees. Their sum is 135 + 225 = 360 degrees.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.116 Central angles and arc measures worksheet?

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QIs this GEO.116 Central angles and arc measures worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-C.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct relationship between a central angle and its intercepted arc and determine an unknown measure. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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