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प्रश्न
The following data shows the expenditure of a person on different items during a month. Represent the data by a pie-chart.
| Items of expenditure | Rent | Education | Food | Clothing | Others |
| Amount (in Rs) | 2700 | 1800 | 2400 | 1500 | 2400 |
उत्तर
We know:
Central angle of a component = (component value/sum of component values x 360)
Here, total amount = Rs 10800
Thus, the central angle for each component can be calculated as follows:
| Item | Amount (in Rs) | Sector angle |
| Rent | 2700 | 2700/10800 x 360 = 90 |
| Education | 1800 | 1800/10800 x 360 = 60 |
| Food | 2400 | 2400/10800 x 360 = 80 |
| Clothing | 1500 | 1500/10800 x 360 = 50 |
| Others | 2400 | 2400/10800 x 360 = 80 |
Total : 10800 (in Rs)
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 90o. Draw a sector with the central angle 90o in such a way that one radius 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 the figure below.
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