Now we will discuss about the construction of pie chart or pie graph. In

brief let us recall about, what is a pie chart?

It is a circular graph which is used to

represent data. In this :

●

Various observations of the data are represented by the

sectors of the circle.

●

The total angle formed at the centre is 360°.

●

The whole circle represents the sum of the values of

all the components.

●

The angle at the centre corresponding to the particular

observation

component is given by

●

If the values of observation/components are expressed

in percentage,

then the centre angle corresponding to particular

observation/component is given by

**How to construct a pie chart?**

**Steps
of **

**construction**

of pie chart for a given data:

of pie chart for a given data:

●

Find the central angle for each component using the

formula given on

the previous page.

● Draw a circle of any radius.

● Draw a horizontal radius

● Starting with the horizontal radius, draw radii, making

central angles

corresponding to the values of respective components.

● Repeat the process for all the components of the given

data.

● These radii divide the whole circle into various

sectors.

● Now, shade the sectors with different colours to denote

various

components.

● Thus, we obtain the required pie chart.

**Solved
example on**

**construction of pie chart/pie graph**:

**1.** The following table shows the numbers of hours spent by a child on

different events on a working day.

Represent the adjoining information on

a pie chart

Activity |
No. of Hours |

School | 6 |

Sleep | 8 |

Playing | 2 |

Study | 4 |

T. V. | 1 |

Others | 3 |

**The central angles for various observations can be calculated as:**

Activity |
No. of Hours |
Measure of central angle |

School | 6 | (^{6}/_{24} × 360)° = 90° |

Sleep | 8 | (^{8}/_{24} × 360)° = 120° |

Playing | 2 | (^{2}/_{24} × 360)° = 30° |

Study | 4 | (^{4}/_{24} × 360)° = 60° |

T. V. | 1 | (^{1}/_{24} × 360)° = 15° |

Others | 3 | (^{3}/_{24} × 360)° = 45° |

Now, we shall represent these angles within

the circle as different sectors. Then we now make the pie chart:

**2. **The favourite flavours of ice-cream

for the children in a locality are given in percentage as follow. Draw the pie

chart to represent the given information

Flavours |
% of Students Prefer the Flavours |

Vanilla | 25 % |

Strawberry | 15 % |

Chocolate | 10 % |

Kesar-Pista | 30 % |

Mango Zap | 20 % |

**The central angles for various observations can be calculated as:**

Flavours |
% of Students Prefer the Flavours |
Measure of Central Angles |

Vanilla | 25 % | (^{25}/_{100} × 360)° = 90° |

Strawberry | 15 % | (^{15}/_{100} × 360)° = 54° |

Chocolate | 10 % | (^{10}/_{100} × 360)° = 36° |

Kesar-Pista | 30 % | (^{30}/_{100} × 360)° = 108° |

Mango Zap | 20 % | (^{20}/_{100} × 360)° = 72° |

Now,

we shall represent these angles within a circle to obtain the required pie

graph.

**● Statistics**

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