**Question:
**

The following table shows the expenditure incurred by a publisher in publishing a book:

Items |
Paper | Printing | Binding | Advertising | Miscellaneous |

Expenditure (in%) |
35% | 20% | 10% | 5% | 30% |

Present the above data in the form of a pie-chart.

**Solution:**

We know:

Central angle of a component = (component value/sum of component values

Here the total % of expenditures = 100%

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

Item | Expenditure (in %) | Sector angle |

Paper | 35 | 35/100 |

Printing | 20 | 20/100 |

Binding | 10 | 10/100 |

Advertising | 5 | 5/100 |

Miscellaneous | 30 | 30/100 |

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 126o. Draw a sector with the central angle 126o 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 other items in the clockwise direction 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.