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To calculate the percentage or proportion (often referred to as the "arc" in pie charts) of different categories in relation to a total, follow these steps:

1. **Identify the values you want to compare:**
   - Same Sex Male Marriage: 63
   - Same Sex Female Marriages: 54
   - Total Marriage Registrations: 2514

2. **Calculate the percentage of each category:**
   \[
   \text{Percentage of Same Sex Male Marriage} = \left(\frac{63}{2514}\right) \times 100
   \]
   \[
   \text{Percentage of Same Sex Female Marriages} = \left(\frac{54}{2514}\right) \times 100
   \]

3. **Use these percentages to determine the "arc" in a pie chart:**
   - Each percentage corresponds to a part of the pie chart.
   - A full circle is 360 degrees, so each percentage translates to:
   \[
   \text{Degrees for Same Sex Male Marriage} = \frac{63}{2514} \times 360
   \]
   \[
   \text{Degrees for Same Sex Female Marriages} = \frac{54}{2514} \times 360
   \]

Now let's compute these values.

### Calculation:
- For **Same Sex Male Marriage**:
  \[
  \frac{63}{2514} \times 100 \approx 2.51\% 
  \]
  \[
  \frac{63}{2514} \times 360 \approx 9.04 \text{ degrees}
  \]

- For **Same Sex Female Marriages**:
  \[
  \frac{54}{2514} \times 100 \approx 2.15\%
  \]
  \[
  \frac{54}{2514} \times 360 \approx 7.72 \text{ degrees}
  \]

These values represent the proportions and corresponding angles (arc) for the pie chart.

Would you like more details or have any further questions?

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Here are five related questions to explore further:

1. How do you calculate the arc for other categories given in a dataset?
2. What is the significance of percentages in data representation?
3. How can you represent these values using a bar chart instead?
4. What are the differences between using a pie chart and a bar chart for this data?
5. How does the total value (2514) impact the interpretation of percentages?

**Tip:** Always ensure that the sum of all percentages in a pie chart equals 100%, which corresponds to 360 degrees.

Learn how to calculate the arc (percentage) for different categories in pie charts with a detailed step-by-step guide. This includes calculating percentages and corresponding angles for categories like Same Sex Male Marriage and Same Sex Female Marriages based on a total of 2514 marriage registrations.

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