**Question:
**

Draw a pie-diagram for the following data of expenditure pattern in a family:

Items |
Food | Clothing | Rent | Education | Unforeseen events | Midicine |

Expenditure (in percent) |
40% | 20% | 10% | 10% | 15% | 5% |

**Solution:**

We know:

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

Here, the total % of items = 100

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

Item | Expenditure | Sector angle |

Food | 40% | 40/100 |

Clothing | 20% | 20/100 |

Rent | 10% | 10/100 |

Education | 10% | 10/100 |

Unforeseen events | 15% | 15/100 |

Medicine | 5% | 5/100 |

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 144o. Draw a sector with the central angle 144o 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 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.