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.

Answer 1

We know:
Central angle of a component = (component value / sum of component values $\times$ 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 $\times$ 360 = 144
Muslim	300	300/1050 $\times$ 360 = 102.9
Sikh	225	225/1050 $\times$ 360 = 77.14
Christian	105	105/1050 $\times$ 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.​​