# Circle Graph

We have learnt to represent the data in the form of bars or pictures in a graph.

Can we represent it in a circle?

Look at the following picture.

A circle graph divided into pieces, each displaying the size of some related piece of information. Circle graphs are used to display the sizes of parts that make up some whole.

Circle graphs are also known as Pie graph.

Consider the following example.

Let us see how to form Pie graph for the given data.

The favourite colours of students in a school is given in the following table.

Favourite colour |
Number of students |

Red | 37 |

Green | 26 |

Blue | 30 |

Yellow | 39 |

Pink | 68 |

Before representing it in a circle graph, we have to do the following steps.

(i) Find the whole parts.

(ii) Count the number of groups.

(iii) Find what fraction of each group has as a whole.

(iv) Find the central angle and draw the graph according to it.

Total number of students = 200

Number of groups = 5

Fraction of students who like red color =

Central angle = Â´ 360Â° = 66.6^{0}

Fraction of students who like green color =

Central angle = Â´ 360Â° = 46.8^{0}

Fraction of students who like blue color =

Central angle = Â´ 360Â° = 54^{0}

Fraction of students who like Yellow color =

Central angle = Â´ 360Â° = 70.2^{0}

Fraction of students who like pink color =

Central angle = Â´ 360Â° = 122.4^{0}

From this pie chart answer the following:

(i) If 160 people read Times of India, how many people are there in the colony?

(ii) How many people read Dinamalar paper?

(i) Let â€˜xâ€™ be the total number of people in the colony.

Number of people reading Times of India = 160.

32% of x = 160.

x = = 500.

Total number of people in the colony is 500.

(ii) 18% of people read Dinamalar.

Number of people reading Dinamalar = 18% of 500.

= 90.

90 people read the newspaper Dinamalar.