Curry Central Angle
1. The problem is to find the central angle of the curry section in a pie chart where the frequency of curry orders is 12 out of a total of 30 meals.
2. The total number of meals ordered is calculated as:
$$11 + 12 + 7 = 30$$
3. The central angle for each section in a pie chart is proportional to its frequency out of the total, and the full circle is 360 degrees.
4. To find the central angle for the curry section, use the formula:
$$\text{Central angle} = \left(\frac{\text{Frequency of curry}}{\text{Total frequency}}\right) \times 360$$
5. Substitute the values:
$$\text{Central angle} = \left(\frac{12}{30}\right) \times 360 = 0.4 \times 360$$
6. Calculate the product:
$$0.4 \times 360 = 144$$
7. Therefore, the central angle for the curry section is $144$ degrees.