Free Printable WorksheetMathGrade 7Math CurriculumCCSS 7.G.B.4

7.106 Area of circles and fractional parts Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.106 Area of circles and fractional parts. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.106 Area of circles and fractional parts - In multiple-choice items, students select the correct area of a circle (or a fraction of a circle) and choose the correct unit interpretation. (CCSS 7.G.B.4; FL MA.7.GR.1.4; TX 7.9(B))

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

Grade 7

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 7.106 Area of circles and fractional parts skill assessments:

Problem 1Difficulty: Mastery
The diagram shows a 200-degree sector of a circle with radius 18 in. Leave the answer in terms of π. Which answer gives the sector area and the correct unit?
A180π in2
B324π in2
C36π in
D180π in
Solution & Explanation:A 200-degree sector is 200/360 = 5/9 of a circle. The full area is 324π in2, and 5/9 × 324π = 180π in2.
Problem 2Difficulty: Mastery
A mural uses 4/15 of a circle with radius 45 cm. Leave the answer in terms of π. Which answer gives the mural area and the correct unit?
A2025π cm2
B90π cm
C540π cm2
D540π cm
Solution & Explanation:The full circle area is 2025π cm2. Four fifteenths of 2025π is 540π cm2.
Problem 3Difficulty: Mastery
A circular mirror has a radius of 5.5 ft, and half of the mirror is covered. Use π = 3.14 and round to the nearest hundredth. Which answer gives the covered area and the correct unit?
A47.49 ft2
B94.99 ft2
C34.54 ft
D47.49 ft
Solution & Explanation:The full area is 3.14 × 5.52 = 94.985 ft2. Half is 47.4925, which rounds to 47.49 ft2.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard CCSS 7.G.B.4 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.B.4. Skill statement in this prompt cell: In multiple-choice items, students select the correct area of a circle (or a fraction of a circle) and choose the correct unit interpretation. Associated standards listed with this skill in this prompt cell: CCSS 7.G.B.4; FL MA.7.GR.1.4; TX 7.9(B). Use this prompt-provided wording as the supporting standard description for this workflow.).

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