Represent the following data Food, Clothing, Rent, Education

Question

Represent the following data by a pie diagram:

Items of expenditure	Expenditure
	Family A	Family B
Food	4000	6400
Clothing	2500	480
Rent	1500	3200
Education	400	1000
Miscellaneous	1600	600
Total	10000	11680

Answer 1

Here, the total expenditure of family A = 10000 and family B = 11680

So, 

The central angle for family A = \(\frac{component\,value}{10000}\times360^\circ\)

The central angle for family B = \(\frac{component\,value}{11680}\times360^\circ\)

Hence, 

the central angle for each activity will be calculated as follows

Item	Expenditure (Family A)	Sector angle (degree) (Family A)	Expenditure (Family B)	Sector angle (degree) (Family)
Food	4000	4000/1000 x 360 = 144	6400	6400/11680 x 360 = 197.3
Clothing	2500	2500/10000 x 360 = 90	480	480/11680 x 360 = 14.8
Rent	1500	1500/10000 x 360 = 54	3200	3200/11680 x 360 = 98.6
Education	400	400/10000 x 360 = 14.4	1000	1000/11680 x 360 = 30.8
Miscellaneous	1600	1600/10000 x 360 = 57.6	600	600/11680 x 360 = 18.5

Steps for construction of representation of data in pie chart 

Step 1: Draw the circle of appropriate radius. 

Step 2 : Choose a radius anywhere inside the circle. 

Step 3 : Now draw a sector of calculated component’s central angle. It is always preferable to choose component with largest central angle first and then continue in descending order of magnitude of their central angle. 

Step 4: After drawing sectors, shade them with different colours and label them as shown in the figure.