#### Question

Employees of a company have been categorized according to their religions as given below:

Religions | Hindu | Muslim | Sikh | Christian | Total |

Number of workers | 420 | 300 | 225 | 105 | 1080 |

Draw a pie-chart to represent the above information.

#### Solution

We know:

Central angle of a component = (component value / sum of component values × 360^{ο})

Here, total number of workers = 1050

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

Religion | Number of workers | Sector angle |

Hindu | 420 | 420/1050 × 360 = 144 |

Muslim | 300 | 300/1050 × 360 = 102.9 |

Sikh | 225 | 225/1050 × 360 = 77.14 |

Christian | 105 | 105/1050 × 360 = 36 |

Note: The total number of workers is 1050, not 1080.

Now, the pie chat that represents 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 the 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.