#### Question

The percentages of various categories of workers in a state are given in the following table.

Categoies | Culti-vators | Agricultural Labourers | Industrial Workers | Commercial Workers | Others |

% of workers | 40 | 25 | 12.5 | 10 | 12.5 |

Present the information in the form a pie-chart.

#### Solution

We know:

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

Here, total percentage of workers = 100

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

Category | Percentage of workers | Sector angle |

Cultivators | 40 | 40/100 x 360 = 144 |

Agricultural labourers | 25 | 25/100 x 360 = 90 |

Industrial workers | 12.5 | 12.5/100 x 360 = 45 |

Commercial workers | 10 | 10/100 x 360 = 36 |

Others | 12.5 | 12.5/100 x 360 = 45 |

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 144^{o}. Draw a sector with the central angle 144^{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 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.