To determine the angle sector for cassava in a pie chart, we need to follow a series of steps that involve calculating the total area represented by all the crops and then finding the proportion of that total that cassava represents. Here’s how to do it step-by-step: ### Step 1: Calculate the Total Acres First, we need to find the total number of acres used for all the crops. The acres for each crop are as follows: - Rice: 2 acres - Pineapple: 5 acres - Cassava: 3 acres - Cocoa: 11 acres - Palm Oil: 9 acres Now, we add these values together: \[ \text{Total Acres} = 2 + 5 + 3 + 11 + 9 = 30 \text{ acres} \] ### Step 2: Determine the Proportion of Cassava Next, we need to find out what fraction of the total acres is represented by cassava. The area for cassava is 3 acres. Therefore, the proportion of cassava is: \[ \text{Proportion of Cassava} = \frac{\text{Acres for Cassava}}{\text{Total Acres}} = \frac{3}{30} = \frac{1}{10} \] ### Step 3: Calculate the Angle for Cassava A pie chart represents a full circle, which is 360 degrees. To find the angle that corresponds to cassava, we multiply the proportion of cassava by the total degrees in a circle: \[ \text{Angle for Cassava} = \text{Proportion of Cassava} \times 360^\circ = \frac{1}{10} \times 360^\circ = 36^\circ \] ### Conclusion Thus, the angle sector for cassava in the pie chart is **36°**. Therefore, the correct option is: **C. 36°** ### Explanation of Other Options - **A. 108°**: This angle would imply that cassava occupies a larger proportion of the total area than it actually does. It would suggest that cassava accounts for 30% of the total area, which is incorrect. - **B. 180°**: This angle represents half of the pie chart, indicating that cassava would account for 50% of the total area. This is not true since cassava only accounts for 10% of the total area. - **D. 60°**: This angle would suggest that cassava occupies 1/6 of the total area, which is also incorrect. It would imply that cassava accounts for approximately 16.67% of the total area, which is higher than the actual 10%. ### Revision Summary - To find the angle for a sector in a pie chart, calculate the total area and the proportion of the specific category. - Multiply the proportion by 360° to find the angle. - Cassava occupies 3 acres out of a total of 30 acres, leading to an angle of 36°. - Always check the other options to ensure they do not represent the correct proportion of the total.