Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.AM.2

TRIG.35 Compute sector area from radius and central angle Worksheet

Download our free printable Trigonometry Math worksheet on TRIG.35 Compute sector area from radius and central angle. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Compute sector area from radius and central angle Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.35 Compute sector area from radius and central angle. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.35 Compute sector area from radius and central angle - Primary standard selected for prompt fields in this prompt cell: UTRI.AM.2. Skill statement in this prompt cell: Select the correct sector area given radius and central angle, including solving for a missing variable when needed. Associated standards listed with this skill in this prompt cell: UTRI.AM.2; CCSS HSG.C.B.5; TEKS §111.41(c)(12)(B)-(C); FL MA.912.GR.6.4. 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

Trigonometry

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 TRIG.35 Compute sector area from radius and central angle skill assessments:

Problem 1Difficulty: Mastery
A sector has area 98pi square units and radius 14 units. Which central angle in radians matches this area?
Api/2 radians
Bpi radians
C3pi/2 radians
D2pi radians
Solution & Explanation:Using A = 1/2 r2 theta gives 98pi = 1/2(142)theta = 98theta. Therefore theta = pi radians.
Problem 2Difficulty: Mastery
A sector with radius 10 units has the same area as a 225-degree sector with radius 8 units. What is the central angle of the radius-10 sector, in degrees?
Solution & Explanation:The radius-8 sector area is (225/360)pi(82) = 40pi. Set 40pi = (theta/360)pi(102), which gives theta = 144 degrees.
Problem 3Difficulty: Mastery
A planned diagram shows a radius 24 circle with a sector labeled (x + 40) degrees. The sector area is 224pi square units. What is x?
A60
B80
C100
D140
Solution & Explanation:First find the central angle: 224pi = (theta/360)pi(242), so theta = 140 degrees. Then x + 40 = 140, giving x = 100.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this TRIG.35 Compute sector area from radius and central angle worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this TRIG.35 Compute sector area from radius and central angle worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice TRIG.35 Compute sector area from radius and central angle online with instant feedback?

Yes! In addition to this printable worksheet, students can practice TRIG.35 Compute sector area from radius and central angle interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard UTRI.AM.2 (Primary standard selected for prompt fields in this prompt cell: UTRI.AM.2. Skill statement in this prompt cell: Select the correct sector area given radius and central angle, including solving for a missing variable when needed. Associated standards listed with this skill in this prompt cell: UTRI.AM.2; CCSS HSG.C.B.5; TEKS §111.41(c)(12)(B)-(C); FL MA.912.GR.6.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Trigonometry Math Resources

Continue learning with complementary skill worksheets and online practice