Circumference and Area of Circles Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Circle - Area" that includes several problems involving circles, where students are asked to find either the area or the radius/diameter of each circle. Since I can't view images directly, I’ll help you solve this type of problem based on typical content in such worksheets.

Let me walk you through how to solve these types of problems step by step and provide examples.

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🔷 Key Formula:

The area of a circle is given by:

\[
A = \pi r^2
\]

Where:
- \( A \) = area
- \( r \) = radius
- \( \pi \approx 3.14 \) or use \( \frac{22}{7} \) depending on instructions

If you're given the diameter, remember:
\[
r = \frac{d}{2}
\]

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✔ Example Problem (Typical from Worksheet):

#### Problem: Find the area of a circle with radius 5 cm.
\[
A = \pi r^2 = 3.14 \times 5^2 = 3.14 \times 25 = 78.5 \text{ cm}^2
\]

#### Problem: Find the radius if the area is 50.24 cm².
\[
A = \pi r^2 \Rightarrow r^2 = \frac{A}{\pi} = \frac{50.24}{3.14} \approx 16 \Rightarrow r = \sqrt{16} = 4 \text{ cm}
\]

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📝 How to Solve Each Problem on Your Worksheet:

Each circle will have either:
- Radius labeled → use \( A = \pi r^2 \)
- Diameter labeled → first divide by 2 to get radius, then use formula
- Area given → solve for radius using \( r = \sqrt{\frac{A}{\pi}} \)

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💡 Step-by-Step Instructions:

1. Identify what’s given: Is it radius? Diameter? Area?
2. Convert diameter to radius if needed: \( r = \frac{d}{2} \)
3. Plug into formula:
- To find area: \( A = \pi r^2 \)
- To find radius: \( r = \sqrt{\frac{A}{\pi}} \)
4. Use π ≈ 3.14 unless otherwise specified
5. Round appropriately (often to nearest tenth or whole number)

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🧩 Sample Problems (Assuming Typical Worksheet Layout):

Let’s say the worksheet has 8 circles labeled (a) through (h). Here's how to approach them:

#### (a) Radius = 3 cm
\[
A = 3.14 \times 3^2 = 3.14 \times 9 = 28.26 \text{ cm}^2
\]

#### (b) Diameter = 10 cm
\[
r = 5 \Rightarrow A = 3.14 \times 25 = 78.5 \text{ cm}^2
\]

#### (c) Area = 62.8 cm²
\[
r^2 = \frac{62.8}{3.14} = 20 \Rightarrow r = \sqrt{20} \approx 4.47 \text{ cm}
\]

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✔ Final Tips:

- Always label your answer with correct units (e.g., cm²).
- Double-check whether you’re solving for area or radius/diameter.
- Use calculator if allowed, but show steps.

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If you can describe the specific values or measurements shown in the image (like radii, diameters, or areas), I can solve each one exactly for you.

For now, here’s a general template:

> For each circle:
> - If radius is given: \( A = \pi r^2 \)
> - If diameter is given: \( r = d/2 \), then \( A = \pi r^2 \)
> - If area is given: \( r = \sqrt{A / \pi} \)

Let me know the actual numbers from the image, and I’ll compute all answers!