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If the cost of one piece in the second circle is 1 dollar, what is the cost of one piece in the third circle?

The image shows three circles that are divided into different numbers of equal parts:

1. The first circle is divided into 2 parts.
2. The second circle is divided into 4 parts.
3. The third circle is divided into 6 parts.

If the cost of one piece in the second circle (which has 4 equal parts) is 1 dollar, this implies that the total cost of the entire circle is 4 dollars (since there are 4 parts, each costing 1 dollar).

For the third circle, which is divided into 6 equal parts, the cost of the entire circle should remain the same, assuming the whole circle always has the same total cost. 

Since the total cost of the entire circle is 4 dollars and the circle has 6 parts, the cost of one piece in the third circle would be:
\[
\text{Cost of one piece} = \frac{4 \text{ dollars}}{6} = \frac{2}{3} \text{ dollars} \approx 0.67 \text{ dollars}
\]

Thus, the cost of one piece in the third circle is approximately 0.67 dollars.

Would you like further details or have any questions? Here are some related questions:

1. What is the total cost of the first circle if the cost per piece is proportional to the second circle?
2. How would the cost per piece change if the third circle had 8 parts instead of 6?
3. If each piece in the first circle costs 2 dollars, what would be the total cost of that circle?
4. How does the cost per piece relate to the number of divisions in the circle?
5. What would be the cost per piece if the second circle had 5 parts instead of 4?

**Tip:** When dividing a total cost among equal parts, remember that the cost per part is inversely proportional to the number of parts.

Learn how to find the cost of one piece in a circle divided into 6 equal parts, given that one piece in a 4-part circle costs 1 dollar. This problem uses proportional reasoning and is suitable for students in Grades 5-7.

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