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Question
Following data gives the break up of the cost of production of a book:
| Printing | Paper | Binding charges | Advertisement | Royalty | Miscellaneous |
| 30% | 15% | 15% | 20% | 10% | 15% |
Draw a pie- diagram depicting the above information.
Solution
We know:
Central angle of a component = (component value/sum of component values x 360)
Here, total expenditures = 105%
Thus, the central angle for each component can be calculated as follows:
| Item | Expenditure (in %) |
Sector angle |
| Printing | 30 | 30/105 x 360 = 102.9 |
| Paper | 15 | 15/105 x 360 = 51.4 |
| Binding charges | 15 | 15/105 x 360 = 51.4 |
| Advertisement | 20 | 20/105 x 360 = 68.6 |
| Royalty | 10 | 10/105 x 360 = 34.3 |
| Miscellaneous | 15 | 15/105 x 360 = 51.4 |
Total : 105%
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 102.9o. Draw a sector with the central angle 102.9o 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 the other items in the clockwise sense 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.
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