Topic Included: | Formulas, Definitions & Exmaples. |

Main Topic: | Data Interpretation. |

Data Interpretation Sub-topic: | Pie Graph Notes & Questions. |

Questions for practice: | 60 Questions & Answers with Solutions. |

A pie graph is a chart or a graphical representation in the form of a circular graph which further divided into small slices that shows the quantity of data. A pie graph could be used for representing financial data, geographical data, or any other data to analyze and calculate the required value.

The pie charts can be divided into two types according to the representation of data.

**(1).** Angular Form Pie-Charts.

**(2).** Percent Form Pie-Charts.

In this type of pie-charts, the data is represented in angular form. Let's understand this with the help of an example given below.

**Example:** An angular form pie chart is given below. You are required to study the pie chart carefully and answer the questions given.

The number of employees in a company is 1080, represented in angular form.

**Question (1):** Find the employees in section P is how many percent more than that in section S?

**Solution:** Employees in section P \(= 90^{o}\)

employees in section S \(= 75^{o}\)

Now the required percentage $$ = \frac{90 - 75}{75} \times 100 $$ $$ = \frac{15}{75} \times 100 $$ $$ = 20 \ \% $$

**Question (2):** Find the number of employees in section R is how many times more than that in section S?

**Solution:** Employees in section R \(= 110^{o}\)

employees in section S \(= 75^{o}\)

Hence, $$ = \frac{110}{75} = 1.46 \ Times $$

**Question (3):** Find the percent of employees in each section?

**Solution:** Conversion of angular form to percent form. $$ 360^{o} = 100 \ \% $$ $$ 1^{o} = \frac{100}{360} \ \% $$ Now, the percent of employees in section P, $$ = 90^{o} = \frac{90 \times 100}{360} $$ $$ = \frac{100}{4} = 25 \ \% $$ The percent of employees in section Q, $$ = 85^{o} = \frac{85 \times 100}{360} $$ $$ = \frac{425}{18} = 23.61 \ \% $$ The percent of employees in section R, $$ = 110^{o} = \frac{110 \times 100}{360} $$ $$ = \frac{275}{9} = 30.5 \ \% $$ The percent of employees in section S, $$ = 75^{o} = \frac{75 \times 100}{360} $$ $$ = \frac{375}{18} = 20.83 \ \% $$

**Question (4):** Find the number of employees in each section?

**Solution:** Conversion of percent form to angular form. $$ 360^{o} = 1080 \ employees $$ $$ 1^{o} = \frac{1080}{360} $$ $$ = 3 \ employees $$ Now, the number of employees in section P, $$ = 90^{o} = 90 \times 3 $$ $$ = 270 \ employees $$ The number of employees in section Q, $$ = 85^{o} = 85 \times 3 $$ $$ = 255 \ employees $$ The number of employees in section R, $$ = 110^{o} = 110 \times 3 $$ $$ = 330 \ employees $$ The number of employees in section S, $$ = 75^{o} = 75 \times 3 $$ $$ = 225 \ employees $$

**Question (5):** Find the difference between employees in section R and P is how many times the difference between employees in section Q and S?

**Solution:** The angular difference between employees in section R and P, $$ = 110 - 90 = 20^{o} $$ The angular difference between employees in section Q and S, $$ = 85 - 75 = 10^{o} $$ the required value, $$ = \frac{20}{10} = 2 \ Times $$

**Click here to learn"Percent Form" Pie Chart.**