# The following data shows the expenditure of a person on different items during a month.

Question:

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

Solution:

We know:

Central angle of a component = (component value/sum of component values ×">× 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 ×">× 360 = 90 Education 1800 1800/10800 ×">× 360 = 60 Food 2400 2400/10800 ×">× 360 = 80 Clothing 1500 1500/10800 ×">× 360 = 50 Others 2400 2400/10800 ×">× 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.​​