https://file.aiquickdraw.com/mathbot/file/172658755004627p5egre.jpg

Find the area of the circle shown below:

412.91 cm2

963.82 cm2

17.5 cm2

26.28 cm2

The image you uploaded shows a transformation of a yellow circle into a yellow rectangle with a width labeled as 55 cm. Let's proceed step by step to solve this problem.

From the given options, the area of the circle is asked, and we are provided with a few values:

- **412.91 cm²**
- **963.82 cm²**
- **17.5 cm²**
- **26.28 cm²**

The area of a circle is calculated using the formula:

\[
A = \pi r^2
\]

Where:
- \(A\) is the area of the circle.
- \(r\) is the radius of the circle.
- \(\pi\) is a constant approximately equal to 3.1416.

Now, to find the correct area from the options, we need to extract the radius information, which is not provided directly in the image. Let me deduce some information or assume details that could help.

Since the circle transforms into a rectangle with a width of **55 cm**, I will assume the circle’s diameter equals the width of the rectangle, which gives a diameter of 55 cm.

Thus, the radius \(r\) would be:

\[
r = \frac{55}{2} = 27.5 \text{ cm}
\]

Now, let's calculate the area using this radius:

\[
A = \pi \times (27.5)^2
\]

I will compute this to find the correct area and match it to one of the provided options.The calculated area of the circle is approximately **2375.83 cm²**. However, none of the provided answer options match this value directly.

Since the problem involves the transformation of the circle into a rectangle, there could be more information needed to fully interpret the correct context, or the options could represent other types of values.

Do you need further clarification, or should we explore additional details about the transformation process?

### 5 Related Questions:
1. How is the circumference of a circle related to its radius?
2. What is the formula for the area of a rectangle, and how does it compare to a circle's area?
3. How would changing the radius of the circle affect its area?
4. Can you derive the area of the circle using its circumference instead?
5. How does a circle’s diameter relate to its area calculation?

### Tip:
Always remember that the area of a circle grows quadratically with the radius, meaning doubling the radius will quadruple the area.

Find the area of the circle shown below: 412.91 cm2, 963.82 cm2, 17.5 cm2, 26.28 cm2.

Calculate the area of a circle given its diameter and compare the result to the provided options. This exercise demonstrates the formula A = πr², key geometric principles, and how to apply them. Suitable for Grades 6-8 students.

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