Question

The following table shows the expenditure incurred by a publisher in publishing a book:

Items	Paper	Printing	Binding	Advertising	Miscellaneous
Expenditure (in%)	35%	20%	10%	5%	30%

Present the above data in the form of a pie-chart.

Answer 1

We know:
Central angle of a component = (component value/sum of component values $\times$ 360)
Here the total % of expenditures = 100%
Thus the central angle for each component can be calculated as follows:

Item	Expenditure (in %)	Sector angle
Paper	35	35/100 $\times$ 360 = 126
Printing	20	20/100 $\times$ 360 = 72
Binding	10	10/100 $\times$ 360 = 36
Advertising	5	5/100 $\times$ 360 = 18
Miscellaneous	30	30/100 $\times$ 360 = 108

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 126^o. Draw a sector with the central angle 126^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.​​