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Mathematics Worksheet

⭕ Circles

Chapter: Geometry · Level ★★☆ · Time: 30 min
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After this worksheet you can
Find circumference using C = 2πr.Find area using A = πr2.Relate radius and diameter.Use π ≈ 3.14 in calculations.
📚 Quick Recap

A circle is the set of all points the same distance from a fixed center point — one of the most elegant and useful shapes in all of geometry.

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

1Circumference of a circle with radius 6 (π ≈ 3.14):
2Area of a circle with radius 8 (π ≈ 3.14):
3A circle of diameter 30 has radius:
4Area of a circle with diameter 10 (π ≈ 3.14):
r d = 2r C = 2πr · A = πr²

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

5The circumference of a circle is C = .
6The area of a circle is A = .
7Find the circumference of a circle with radius 6 (π ≈ 3.14).
8Find the area of a circle with radius 8 (π ≈ 3.14).
9A circle has diameter 30. Find its radius and circumference (π ≈ 3.14).

🚀 Section C · Challenge ● CHALLENGE 5

10Find the area of a circle with diameter 10 (π ≈ 3.14).
💭 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 2πr   6 πr2   7 = 37.68   8 = 200.96   9 = Radius = 15, Circumference = 94.2  |  10 = 78.5

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