# The number of hours, spent by a school boy on different activities in a working day, is given below:

**Question:
**

The number of hours, spent by a school boy on different activities in a working day, is given below:

Activities |
Sleep | School | Home | Play | Others | Total |

Number of hours |
8 | 7 | 4 | 2 | 3 | 24 |

Present the information in the form of a pie-chart.

**Solution:**

We know:

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

Here, total number of hours = 24

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

Activity | Number of hours | Sector angle |

Sleep | 8 | 8/24 360 = 120o |

School | 7 | 7/24 |

Home | 4 | 4/24 360 = 60o |

Play | 2 | 2/24 |

Others | 3 | 3/24 |

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

Step 1 : Draw a 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 120o. Draw a sector with the central angle 120o 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 the figure below.