🧠 Radians & the Unit Circle: Show Your Thinking (F-TF.A.2)

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Use the unit circle and radian measure. Solve each problem and show your work.

1. 225° in radians, and the point (cos, sin) on the unit circle

Show your work

2. Convert π/4 radians to degrees

Show your work

3. 180° in radians, and the point (cos, sin) on the unit circle

Show your work

4. Convert 7π/4 radians to degrees

Show your work

5. 45° in radians, and the point (cos, sin) on the unit circle

Show your work

6. Convert 4π/3 radians to degrees

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 5π/4; (−√2/2, −√2/2) · 2) 45° · 3) π; (−1, 0) · 4) 315° · 5) π/4; (√2/2, √2/2) · 6) 240°

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Worksheets › Grade 11 Math (Algebra II) › Radians & the Unit Circle › Radians & the Unit Circle

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core F-TF.A.2): radians & the unit circle — problems with space to show work and explain reasoning, with answer key. Skill: Use the unit circle and radian measure. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS F-TF.A.2: Use the unit circle and radian measure
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 11 (ages 16–17), but use it with any child who is ready.

What skills does it build?

Use the unit circle and radian measure.

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More “Radians & the Unit Circle” printables (f-tf.a.2: use the unit circle and radian measure)

Radians & the Unit Circle: Practice A (F-TF.A.2) · Radians & the Unit Circle: Practice B (F-TF.A.2) · Radians & the Unit Circle: Mixed Practice & Reasoning (F-TF.A.2) · Radians & the Unit Circle: Quick Check (F-TF.A.2)

All 5 radians & the unit circle sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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