Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.AM.1

TRIG.27 Angle measure in degrees and radians Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.27 Angle measure in degrees and radians. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.27 Angle measure in degrees and radians - Primary standard selected for prompt fields in this prompt cell: UTRI.AM.1. Skill statement in this prompt cell: Select the correct definition of a radian and identify equivalent degree and radian measures for a given rotation, including negative angles. Associated standards listed with this skill in this prompt cell: UTRI.AM.1; CCSS HSF.TF.A.1; VA T.CT.1a-b; TEKS §111.42(c)(4)(B)-(D). 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.27 Angle measure in degrees and radians skill assessments:

Problem 1Difficulty: Mastery
Which summary correctly describes this skill?
AUse pi radians for 180 degrees, 2pi radians for 360 degrees, and keep negative signs for clockwise or negative rotations
BUse pi radians for 360 degrees and ignore signs when changing units
CConvert degrees to radians by multiplying by 180/pi and make all answers positive
DConvert radians to degrees by multiplying by pi/180 and use only degree symbols
Solution & Explanation:The core facts are pi radians = 180 degrees, 2pi radians = 360 degrees, and signed rotations keep their signs when converting.
Problem 2Difficulty: Mastery
A camera pans counterclockwise 240 degrees, then clockwise 60 degrees. What single radian measure represents the net rotation?
Api radians
B4pi/3 radians
C5pi/3 radians
D2pi radians
Solution & Explanation:The net rotation is 240 - 60 = 180 degrees counterclockwise. Since 180 degrees equals pi radians, the net measure is pi radians.
Problem 3Difficulty: Mastery
True or false: Degree-to-radian conversion depends on the radius of the circle being used.
ATrue
BFalse
Solution & Explanation:A radian is defined using radius, but the conversion between degrees and radians is the same for every circle.

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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 Trigonometry Math students. It aligns with educational standard UTRI.AM.1 (Primary standard selected for prompt fields in this prompt cell: UTRI.AM.1. Skill statement in this prompt cell: Select the correct definition of a radian and identify equivalent degree and radian measures for a given rotation, including negative angles. Associated standards listed with this skill in this prompt cell: UTRI.AM.1; CCSS HSF.TF.A.1; VA T.CT.1a-b; TEKS §111.42(c)(4)(B)-(D). Use this prompt-provided wording as the supporting standard description for this workflow.).

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