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प्रश्न
Draw a pie-diagram for the following data of expenditure pattern in a family:
| Items | Food | Clothing | Rent | Education | Unforeseen events | Midicine |
| Expenditure (in percent) | 40% | 20% | 10% | 10% | 15% | 5% |
उत्तर
We know:
Central angle of a component = `"component value"/"sum of component values" xx 360°`
Here, the total % of items = 100
Thus, central angle for each component can be calculated as follows:
| Item | Expenditure | Sector angle |
| Food | 40% | `40/100` x 360 = 144 |
| Clothing | 20% | `20/100` x 360 = 72 |
| Rent | 10% | `10/100` x 360 = 36 |
| Education | 10% | `10/100` x 360 = 36 |
| Unforeseen events | 15% | `15/100` x 360 = 54 |
| Medicine | 5% | `5/100` x 360 = 18 |
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 144o. Draw a sector with the central angle 144o 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 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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