Let's solve each of these circle area problems step by step using the
formula for the area of a circle:
$$
A = \pi r^2
$$
Where:
- $ A $ is the area,
- $ r $ is the radius,
- $ \pi \approx 3.14 $ (we'll use this approximation unless otherwise specified),
- If given
diameter, remember: $ r = \frac{d}{2} $
We’ll calculate each area and round to
1 decimal place (1dp) as instructed.
---
1) Diameter = 5 cm
- Radius $ r = \frac{5}{2} = 2.5 $ cm
- $ A = \pi \times (2.5)^2 = 3.14 \times 6.25 = 19.625 $
- $ \boxed{A = 19.6} $ cm²
---
2) Radius = 3 m
- $ A = \pi \times (3)^2 = 3.14 \times 9 = 28.26 $
- $ \boxed{A = 28.3} $ m²
---
3) Diameter = 8 mm
- Radius $ r = \frac{8}{2} = 4 $ mm
- $ A = \pi \times (4)^2 = 3.14 \times 16 = 50.24 $
- $ \boxed{A = 50.2} $ mm²
---
4) Radius = 1.5 m
- $ A = \pi \times (1.5)^2 = 3.14 \times 2.25 = 7.065 $
- $ \boxed{A = 7.1} $ m²
---
5) Diameter = 11 cm
- Radius $ r = \frac{11}{2} = 5.5 $ cm
- $ A = \pi \times (5.5)^2 = 3.14 \times 30.25 = 94.985 $
- $ \boxed{A = 95.0} $ cm²
---
6) Radius = 7 mm
- $ A = \pi \times (7)^2 = 3.14 \times 49 = 153.86 $
- $ \boxed{A = 153.9} $ mm²
---
7) Diameter = 17 cm
- Radius $ r = \frac{17}{2} = 8.5 $ cm
- $ A = \pi \times (8.5)^2 = 3.14 \times 72.25 = 226.57 $
- $ \boxed{A = 226.6} $ cm²
---
8) Radius = 9 mm
- $ A = \pi \times (9)^2 = 3.14 \times 81 = 254.34 $
- $ \boxed{A = 254.3} $ mm²
---
9) Diameter = 9 m
- Radius $ r = \frac{9}{2} = 4.5 $ m
- $ A = \pi \times (4.5)^2 = 3.14 \times 20.25 = 63.585 $
- $ \boxed{A = 63.6} $ m²
---
10) Diameter = 13 cm
- Radius $ r = \frac{13}{2} = 6.5 $ cm
- $ A = \pi \times (6.5)^2 = 3.14 \times 42.25 = 132.665 $
- $ \boxed{A = 132.7} $ cm²
---
11) Diameter = 15 mm
- Radius $ r = \frac{15}{2} = 7.5 $ mm
- $ A = \pi \times (7.5)^2 = 3.14 \times 56.25 = 176.625 $
- $ \boxed{A = 176.6} $ mm²
---
12) Radius = 6½ cm = 6.5 cm
- $ A = \pi \times (6.5)^2 = 3.14 \times 42.25 = 132.665 $
- $ \boxed{A = 132.7} $ cm²
---
✔ Final Answers:
| Problem | Area (to 1dp) |
|--------|----------------|
| 1) | 19.6 cm² |
| 2) | 28.3 m² |
| 3) | 50.2 mm² |
| 4) | 7.1 m² |
| 5) | 95.0 cm² |
| 6) | 153.9 mm² |
| 7) | 226.6 cm² |
| 8) | 254.3 mm² |
| 9) | 63.6 m² |
| 10) | 132.7 cm² |
| 11) | 176.6 mm² |
| 12) | 132.7 cm² |
---
🔍 Summary Notes:
- Always check if you're given
radius or
diameter.
- Use $ r = \frac{d}{2} $ when diameter is given.
- Use $ A = \pi r^2 $, with $ \pi \approx 3.14 $.
- Round your final answer to
1 decimal place.
Let me know if you'd like this in a printable format or need help understanding any specific problem!
Parent Tip: Review the logic above to help your child master the concept of finding the area of a circle worksheet.