Calculate the angles for each expenditure category for Family A to create a pie diagram.

The formula for the angle of a sector is:

• Food: $$\frac{1700}{3600} \times 360^\circ = 170^\circ$$
• Clothes: $$\frac{800}{3600} \times 360^\circ = 80^\circ$$
• Fuel: $$\frac{400}{3600} \times 360^\circ = 40^\circ$$
• Rent: $$\frac{400}{3600} \times 360^\circ = 40^\circ$$
• Education: $$\frac{200}{3600} \times 360^\circ = 20^\circ$$
• Miscellaneous: $$\frac{100}{3600} \times 360^\circ = 10^\circ$$

For Family B

• Food: $$\frac{3300}{6400} \times 360^\circ = 185.625^\circ$$
• Clothes: $$\frac{900}{6400} \times 360^\circ = 50.625^\circ$$
• Fuel: $$\frac{800}{6400} \times 360^\circ = 45^\circ$$
• Rent: $$\frac{600}{6400} \times 360^\circ = 33.75^\circ$$
• Education: $$\frac{600}{6400} \times 360^\circ = 33.75^\circ$$
• Miscellaneous: $$\frac{200}{6400} \times 360^\circ = 11.25^\circ$$

How to prepare the pie diagrams:

1. Draw a circle for Family A and another circle for Family B.
2. Mark the center of each circle.
3. Draw a radius from the center to the circumference. This will be the starting line for the first sector.
4. Using a protractor, measure and draw the angle for each item, starting from the previous line. For example, for Family A, draw a $170^\circ$ sector for Food, then from the end of that sector, draw an $80^\circ$ sector for Clothes, and so on.
5. Label each sector with its corresponding item (e.g., Food, Clothes) and its percentage or value.
6. Optionally, use different colors or patterns for each sector to distinguish them.

The calculated angles for each family are:
Family A:

• Food: $\mathbf{170^\circ}$
• Clothes: $\mathbf{80^\circ}$
• Fuel: $\mathbf{40^\circ}$
• Rent: $\mathbf{40^\circ}$
• Education: $\mathbf{20^\circ}$
• Miscellaneous: $\mathbf{10^\circ}$

Family B:

• Food: $\mathbf{185.625^\circ}$
• Clothes: $\mathbf{50.625^\circ}$
• Fuel: $\mathbf{45^\circ}$
• Rent: $\mathbf{33.75^\circ}$
• Education: $\mathbf{33.75^\circ}$
• Miscellaneous: $\mathbf{11.25^\circ}$