# Draw a pie-diagram for the following data of expenditure pattern in a family:

Question:

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%

Solution:

We know:

Central angle of a component = (component value/sum of component values ×">× 360ο)

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 ×">× 360 = 144 Clothing 20% 20/100 ×">× 360 = 72 Rent 10% 10/100 ×">× 360 = 36 Education 10% 10/100 ×">× 360 = 36 Unforeseen events 15% 15/100 ×">× 360 = 54 Medicine 5% 5/100×">× 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.​​