# Pie Chart: Angular Form

#### Overview:

 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.

#### What is a Pie Graph:

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.

#### Types of Pie Graph:

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.

#### (1). Angular 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, $$= \frac{20}{10} = 2 \ Times$$