Let’s go through each circle one by one. We’ll find the radius, diameter, circumference, and area for each — just like in the example at the top.
We’re told to use
3.14 for π.
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Circle 1: Radius = 3 cm
-
Radius = 3 cm (given)
-
Diameter = 2 × radius = 2 × 3 =
6 cm
-
Circumference = π × diameter = 3.14 × 6 =
18.84 cm
-
Area = π × r² = 3.14 × (3)² = 3.14 × 9 =
28.26 cm²
✔ All correct except Area was left blank — now filled.
---
Circle 2: Radius = 6 in
Wait — looking at the drawing, it shows a line from center to edge labeled “6 in” → that’s the
radius, not diameter.
So:
-
Radius = 6 in
-
Diameter = 2 × 6 =
12 in
-
Circumference = 3.14 × 12 =
37.68 in ✔ matches student
-
Area = 3.14 × (6)² = 3.14 × 36 =
113.04 in² ✔ matches student
Good job here!
---
Circle 3: Diameter = 9 mm (line goes all the way across)
So:
-
Diameter = 9 mm
-
Radius = 9 ÷ 2 =
4.5 mm ← Student wrote 9 mm — that’s wrong!
-
Circumference = 3.14 × 9 =
28.26 mm ← Student wrote 56.52 — that’s double! Probably used diameter as radius.
-
Area = 3.14 × (4.5)² = 3.14 × 20.25 =
63.585 mm² ← Student wrote 254.34 — way too big. They probably did 3.14 × 9² = 3.14 × 81 = 254.34 — but that’s if radius were 9, which it’s not.
⚠️ Correction needed here.
---
Circle 4: Diameter = 4.8 cm (line across center)
-
Diameter = 4.8 cm
-
Radius = 4.8 ÷ 2 =
2.4 cm ✔
-
Circumference = 3.14 × 4.8 = let’s calculate:
3.14 × 4 = 12.56
3.14 × 0.8 = 2.512
Total = 12.56 + 2.512 =
15.072 cm ✔
-
Area = 3.14 × (2.4)² = 3.14 × 5.76
Let’s compute:
3 × 5.76 = 17.28
0.14 × 5.76 = 0.8064
Total = 17.28 + 0.8064 =
18.0864 cm² ✔
Perfect!
---
Circle 5: Diameter = 7 cm
-
Diameter = 7 cm
-
Radius = 7 ÷ 2 =
3.5 cm ✔
-
Circumference = 3.14 × 7 =
21.98 cm ✔
-
Area = 3.14 × (3.5)² = 3.14 × 12.25
Compute:
3 × 12.25 = 36.75
0.14 × 12.25 = 1.715
Total = 36.75 + 1.715 =
38.465 cm² ✔
Great!
---
Circle 6: Diameter = 14 cm
-
Diameter = 14 cm
-
Radius = 14 ÷ 2 =
7 cm ✔
-
Circumference = 3.14 × 14 =
3.14 × 10 = 31.4
3.14 × 4 = 12.56
Total = 31.4 + 12.56 =
43.96 cm ✔
-
Area = 3.14 × (7)² = 3.14 × 49
3 × 49 = 147
0.14 × 49 = 6.86
Total = 147 + 6.86 =
153.86 cm² ✔
Perfect!
---
## Summary of Corrections Needed:
Only
Circle 3 has errors:
Student wrote:
- Radius = 9 mm
✘ → should be
4.5 mm
- Circumference = 56.52 mm
✘ → should be
28.26 mm
- Area = 254.34
✘ → should be
63.585 mm²
All others are correct!
---
Final Answer:
Circle 1:
Radius = 3 cm, Diameter = 6 cm, Circumference = 18.84 cm, Area = 28.26 cm²
Circle 2:
Radius = 6 in, Diameter = 12 in, Circumference = 37.68 in, Area = 113.04 in²
Circle 3:
Radius = 4.5 mm, Diameter = 9 mm, Circumference = 28.26 mm, Area = 63.585 mm²
Circle 4:
Radius = 2.4 cm, Diameter = 4.8 cm, Circumference = 15.072 cm, Area = 18.0864 cm²
Circle 5:
Radius = 3.5 cm, Diameter = 7 cm, Circumference = 21.98 cm, Area = 38.465 cm²
Circle 6:
Radius = 7 cm, Diameter = 14 cm, Circumference = 43.96 cm, Area = 153.86 cm²
Parent Tip: Review the logic above to help your child master the concept of circle review worksheet.