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

Answer 1

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 90^o. Draw a sector with the central angle 90^o 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.​​