#### Question

Following data gives the break up of the cost of production of a book:

Printing | Paper | Binding charges | Advertisement | Royalty | Miscellaneous |

30% | 15% | 15% | 20% | 10% | 15% |

Draw a pie- diagram depicting the above information.

#### Solution

We know:

Central angle of a component = (component value/sum of component values x 360)

Here, total expenditures = 105%

Thus, the central angle for each component can be calculated as follows:

Item | Expenditure (in %) |
Sector angle |

Printing | 30 | 30/105 x 360 = 102.9 |

Paper | 15 | 15/105 x 360 = 51.4 |

Binding charges | 15 | 15/105 x 360 = 51.4 |

Advertisement | 20 | 20/105 x 360 = 68.6 |

Royalty | 10 | 10/105 x 360 = 34.3 |

Miscellaneous | 15 | 15/105 x 360 = 51.4 |

Total : 105%

Now, the pie chat representing the given data can be constructed by following the steps below:

Step 1 : Draw circle of an appropriate radius.

Step 2 : Draw a vertical radius of the circle drawn in step 1.

Step 3 : Choose the largest central angle. Here the largest central angle is 102.9^{o}. Draw a sector with the central angle 102.9^{o} in such a way that one of its radii coincides with the radius drawn in step 2 and another radius is in its counter clockwise direction.

Step 4 : Construct other sectors representing the other items in the clockwise sense in descending order of magnitudes of their central angles.

Step 5 : Shade the sectors with different colours and label them, as shown as in figure below.