**Drawing pie chart :**

Here, we take a circle and the whole circle is divided into sectors. The size of each sector is proportional to the activity or information it represents.

Since, the sectors resemble the slices of a pie, it is called a pie chart.

In a pie chart, the various observations or components are represented by the sectors of a circle and the whole circle represents the sum of the value of all the components .Clearly, the total angle of 360° at the center of the circle is divided according to the values of the components .

The central angle of a component is

= [ Value of the component / Total value] x 360°

Sometimes, the value of the components are expressed in percentages. In such cases,

The central angle of a component is

= [ Percentage value of the component / 100 ] x 360°

**Step 1 : **

Calculate the central angle for each component , using the above formula.

**Step 2 :**

Draw a circle of convenient radius.

**Step 3 : **

Within this circle, draw a horizontal radius.

**Step 4 :**

Draw radius making central angle of first component with horizontal radius; this sector represents the first component. From this radius, draw next radius with central angle of second component; this sector represents second component and so on, until we exhaust all components.

**Step 5 : **

Shade each sector differently and mark the component it represents.

**Step 6 : **

Give the heading for each component.

**Example 1 :**

The following table shows the half yearly budget of a family

Particulars Food House rent Clothing Education Savings Miscellaneous |
Expenses (in $) 4800 2400 1600 800 1000 1400 |

**Draw a pie chart to represent the above information.**

**Solution :**

The central angle of a component is

= [ Value of the component / Total value] x 360°

We may calculate the central angles for various components as follows :

Particulars Food House rent Clothing Education Savings Miscellaneous ------------ Total |
Expenses 4800 2400 1600 800 1000 1400 ---------- 12000 |
Central angle (4800/12000) ⋅ 360 = 144° (2400/12000) ⋅ 360 = 72° (1600/12000) ⋅ 360 = 48° (800/12000) ⋅ 360 = 24° (1000/12000) ⋅ 360 = 30° (1400/12000) ⋅ 360 = 42° |

From the above table, clearly, we obtain the required pie chart as shown below.

**Example 2 : **

The number of hours spent by a school student on various activities on a working day, is given below. Construct a pie chart using the angle measurement.

Activity Sleep School Play Homework Others |
Number of hours 8 6 3 3 4 |

Draw a pie chart to represent the above information.

**Solution :**

The central angle of a component is

= [ Value of the component / Total value] x 360°

We may calculate the central angles for various components as follows :

Activity Sleep School Play Homework Others ----------- Total |
Duration in hours 8 6 3 3 4 ---------- 24 |
Central angle (8/24) ⋅ 360 = 120° (6/24) ⋅ 360 = 90° (3/24) ⋅ 360 = 45° (3/24) ⋅ 360 = 45° (4/24) ⋅ 360 = 60° 360° |

From the above table, clearly, we obtain the required pie chart as shown below.

**Example 3 : **

The result of an examination of a school is as follows :

Result Passed in first class Passed in second class Passed in third class Failed |
Percentage of students 25% 35% 30% 10% |

**Draw a pie chart to represent the above information.**

**Solution :**

The central angle of a component is

= [ Value of the component / 100 ] x 360°

We may calculate the central angles for various components as follows :

Result Passed in first class Passed in second class Passed in third class Failed ---------- Total |
Percentage of students 25% 35% 30% 10% ----------- 100% |
Central angle (25/100) ⋅ 360 = 90° (35/100) ⋅ 360 = 126° (30/100) ⋅ 360 = 108° (10/100) ⋅ 360 = 36° ------------- 360° |

From the above table, clearly, we obtain the required pie chart as shown below.

After having gone through the stuff given above, we hope that the students would have understood "Drawing pie chart".

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