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Mathematics Worksheet
⭕ Unit Circle
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After this worksheet you can
Convert between degrees and radians.Recall key unit-circle coordinates.Identify the four quadrants.Understand radian measure.📚 Quick Recap
The unit circle is a circle of radius 1 centered at the origin — it extends sine and cosine beyond right triangles to work for any angle at all.
🧠 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:
🧮 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
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✂ 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°