Mrs.D Math · 7th Grade
π

PI RUN

Circumference of a Circle
C = π × d
C = 2 × π × r
◯ Find Circumference
🔍 Find r or d
📚 Word Problems
🎲 Mixed
◯ Find Circumference
🔍 Find r or d
📚 Word Problems
🎲 Mixed
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◯ Circumference

The Two Formulas

C=πd
Use when given diameter: C = π × d
d = 10 → C = π × 10 = 10π  •  or using 3.14: C = 3.14 × 10 = 31.4
C=2πr
Use when given radius: C = 2 × π × r
r = 5 → C = 2 × π × 5 = 10π  •  or: C = 2 × 3.14 × 5 = 31.4

Finding r or d from C

d
d = C ÷ π  •  If C = 10π: d = 10π ÷ π = 10  •  If C = 31.4: d = 31.4 ÷ 3.14 = 10
r
r = C ÷ (2π)  •  If C = 10π: r = 10π ÷ (2π) = 5  •  If C = 31.4: r = 31.4 ÷ 6.28 = 5

Difficulty Levels

🌿
Easy — Leave answers in terms of π (e.g. 6π cm). Find r and d from nπ circumferences.
🔥
Medium — Calculate using π ≈ 3.14 for decimal answers. Find r and d from decimal circumferences.
💎
Hard — Larger values, real-world word problems, using π ≈ 3.14.
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FIND CIRCUMFERENCE
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π
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