Question

A survey was conducted for 180 people in a city. 70 ate Pizza, 60 ate Burgers, and 50 ate Chips. Draw a pie diagram for the given information.

Hint:

To draw a pie chart, always use the formula \[ \text{Angle} = \frac{\text{Part Value}}{\text{Total Value}} \times 360 \] and ensure that the sum of all angles equals \(360^\circ.\)

Answer 1

Step 1: Total number of people. 
Total \( = 180\) 
Step 2: Formula for central angle. 
\[ \text{Central Angle} = \frac{\text{Value of the item}}{\text{Total Value}} \times 360 \] Step 3: Find angles for each food item. 
\[ \text{For Pizza: } \frac{70}{180} \times 360 = 140^\circ \] \[ \text{For Burgers: } \frac{60}{180} \times 360 = 120^\circ \] \[ \text{For Chips: } \frac{50}{180} \times 360 = 100^\circ \] 
Step 4: Verify. 
\[ 140^\circ + 120^\circ + 100^\circ = 360^\circ \] Hence, the division is correct. 
Step 5: Draw the pie chart. 
Draw a circle and divide it into three sectors with the calculated central angles: 
- \(140^\circ\) for Pizza 
- \(120^\circ\) for Burgers 
- \(100^\circ\) for Chips 
Step 6: Conclusion. 
The pie chart represents the distribution of food preferences among 180 people. 
Final Answer: \[ \boxed{\text{Pizza = 140° , Burgers = 120° , Chips = 100°}} \]