**Question:
**

The following data shows the expenditure of a person on different items during a month. Represent the data by a pie-chart.

Items of expenditure |
Rent | Education | Food | Clothing | Others |

Amount (in Rs) |
2700 | 1800 | 2400 | 1500 | 2400 |

**Solution:**

We know:

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

Here, total amount = Rs 10800

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

Item | Amount (in Rs) | Sector angle |

Rent | 2700 | 2700/10800 |

Education | 1800 | 1800/10800 |

Food | 2400 | 2400/10800 |

Clothing | 1500 | 1500/10800 |

Others | 2400 | 2400/10800 |

Total : 10800 (in Rs)

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 90o. Draw a sector with the central angle 90o in such a way that one radius 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 the figure below.