? Circumference of Circles Worksheet | KS3 Maths | Beyond - Free Printable

It looks like you've uploaded a worksheet titled "Circumference of Circles", which is designed to help students practice calculating the circumference of circles using the formula:

$$
\text{Circumference} = \pi \times \text{diameter} \quad \text{or} \quad C = 2\pi r
$$

Since I can't view images directly, I’ll guide you through how to solve this type of problem based on what’s typically included in such worksheets.

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🔍 Understanding the Worksheet

The worksheet includes:
- A section explaining the concept of circumference.
- The formula:
$$
C = \pi \times d \quad \text{or} \quad C = 2\pi r
$$
- Instructions to round answers to 1 decimal place or nearest whole number.
- Several problems with circles showing either the diameter or radius.

Let’s go through a typical example step-by-step.

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🧮 Example Problem (Hypothetical)

Suppose one of the circles has a diameter of 8 cm.

#### Step 1: Use the formula
$$
C = \pi \times d
$$

Plug in the values:
$$
C = \pi \times 8
$$

Use $\pi \approx 3.14$:
$$
C = 3.14 \times 8 = 25.12 \text{ cm}
$$

#### Step 2: Round appropriately
- To 1 decimal place: 25.1 cm
- To nearest whole number: 25 cm

So, depending on the instruction, your answer would be 25.1 cm or 25 cm.

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✔ Tips for Solving All Problems

1. Identify whether you're given the radius or diameter:
- If it's the radius, use $ C = 2\pi r $
- If it's the diameter, use $ C = \pi d $

2. Use $\pi \approx 3.14$ unless told otherwise.

3. Multiply and round correctly:
- For 1 decimal place, look at the second decimal digit.
- E.g., 25.12 → 25.1
- For nearest whole number, round up or down based on tenths.
- E.g., 25.1 → 25

4. Label your answer with units (e.g., cm, mm).

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📝 Let's Solve a Few Practice Problems (Based on Common Worksheet Layout)

#### Problem 1: Diameter = 6 cm
$$
C = \pi \times 6 = 3.14 \times 6 = 18.84 \text{ cm}
$$
→ Rounded to 1 decimal place: 18.8 cm

#### Problem 2: Radius = 4 cm
$$
C = 2\pi r = 2 \times 3.14 \times 4 = 25.12 \text{ cm}
$$
→ Rounded to 1 decimal place: 25.1 cm

#### Problem 3: Diameter = 10 cm
$$
C = 3.14 \times 10 = 31.4 \text{ cm}
$$
→ Already to 1 decimal place: 31.4 cm

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💡 Final Advice

Make sure:
- You’re using the correct value for $\pi$ (usually 3.14).
- You’re rounding correctly as instructed.
- You’re checking whether you’re given radius or diameter.

If you can describe the specific circles shown in the image (e.g., "Circle 1 has a diameter of 5 cm"), I can walk you through solving each one exactly!

Would you like me to simulate the full worksheet solution based on common problems?