Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Math worksheet for calculating the area of circles using diameter and radius measurements.

Worksheet titled "Area of a Circle 3B" with 12 problems showing circles with diameter and radius measurements, instructing to calculate area to 1 decimal place.

Worksheet titled "Area of a Circle 3B" with 12 problems showing circles with diameter and radius measurements, instructing to calculate area to 1 decimal place.

GIF 1000×1294 63.8 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #460613
Show Answer Key & Explanations Step-by-step solution for: Area of a Circle
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.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all finding the area of a circle worksheet)

FREE Printable Area And Circumference Of A Circle Worksheets [PDFs]
Circumference and Area of Circles Worksheets
Area Circles Worksheet - Have Fun Teaching
Grade 5 Geometry Worksheets: Circumference of circles | K5 Learning
Grade 5 Geometry Worksheets: Area of circles | K5 Learning
Area of Circles Worksheets - Math Worksheets - MathsDiary.com
Area of a Circle - Free Worksheet for Kids - SKOOLGO
Area of Circles - Worksheets
Calculate Circumference and Area of Circles from Radius (A)
Area & Circumference Worksheets: Free Circle Worksheets