Free Printable WorksheetMathGeometryMath CurriculumG-GMD.B.4

GEO.156 Circumference and area of circles Worksheet

Download our free printable Geometry Math worksheet on GEO.156 Circumference and area of circles. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.156 Circumference and area of circles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.156 Circumference and area of circles - Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.B.4. Skill statement in this prompt cell: Select the correct circle formula and compute circumference or area for a given radius, diameter, or composite figure. Associated standards listed with this skill in the curriculum source: CCSS G-GMD.B.4; FL MA.912.GR.4.1-4.2; VA G.DF.1a; CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. 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.156 Circumference and area of circles skill assessments:

Problem 1Difficulty: Mastery
A logo is made from a large semicircle of diameter 20 units with a smaller semicircular cutout of diameter 10 units along the same straight edge. What is the remaining area in terms of pi?
A12.5pi square units
B25pi square units
C37.5pi square units
D50pi square units
Solution & Explanation:The large semicircle has radius 10 and area 50pi. The smaller cutout has radius 5 and area 12.5pi. The remaining area is 50pi-12.5pi=37.5pi.
Problem 2Difficulty: Mastery
Two circles have a total area of 85pi square units. One circle has diameter 14 units. What is the radius of the other circle?
A4 units
B6 units
C8 units
D12 units
Solution & Explanation:The circle with diameter 14 has radius 7 and area 49pi. The other circle has area 85pi-49pi=36pi, so its radius is 6 units.
Problem 3Difficulty: Mastery
A circular plate has radius 6 in. A smaller circular hole with diameter 6 in is cut out. What is the remaining area in terms of pi?
A9pi square in
B18pi square in
C27pi square in
D36pi square in
Solution & Explanation:The plate area is 36pi. The hole has radius 3, so its area is 9pi. The remaining area is 36pi-9pi=27pi square in.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.156 Circumference and area of circles worksheet?

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QIs this GEO.156 Circumference and area of circles 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-GMD.B.4 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.B.4. Skill statement in this prompt cell: Select the correct circle formula and compute circumference or area for a given radius, diameter, or composite figure. Associated standards listed with this skill in the curriculum source: CCSS G-GMD.B.4; FL MA.912.GR.4.1-4.2; VA G.DF.1a; CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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