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.

Answer 1

We know:
Central angle of a component = (component value/sum of component values $\times$ 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 $\times$ 360 = 144
Agricultural labourers	25	25/100 $\times$ 360 = 90
Industrial workers	12.5	12.5/100 $\times$ 360 = 45
Commercial workers	10	10/100 $\times$ 360 = 36
Others	12.5	12.5/100 $\times$ 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.​​