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Mathematics Worksheet

⭕ Unit Circle

Chapter: Trigonometry · Level ★★☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Convert between degrees and radians.Recall key unit-circle coordinates.Identify the four quadrants.Understand radian measure.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

145° in radians is:
2270° in radians is:
3π radians in degrees is:
4π/4 radians in degrees is:
(cos θ, sin θ) θ The unit circle: radius 1, point (cos θ, sin θ)

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5180° = radians.
645° = radians.
7Convert 45° to radians.
8Convert 270° to radians.
9Convert π radians to degrees.

🚀 Section C · Challenge ● CHALLENGE 5

10Convert π/4 radians to degrees.
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 π   6 π/4   7 = π/4 radians   8 = 3π/2 radians   9 = 180°  |  10 = 45°

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