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The following data relates to the cost of construction of a house.

Items Cement Steel Bricks Timber Labour Miscellaneous
Expenditure (%) 30 10 10 15 20 15

Draw a Pie diagram to represent the above data. 

1 Answer

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Best answer

The angle of each sector will depend on the ratio between the number of students each item and total expenditure (%). 

Angle of sector = \(\frac {Value\,of\,the\,item}{Sum\,of\,the\,value\,of\,all\,items}\) x 360°

Steps of construction:

1. Draw a circle with any convenient radius and mark it’s centre as ‘O’. 

2. Mark a point A, somewhere on the circumference and join OA. 

3. Construct ∠AOB = 108° to represent angle of the sector of Cement. 

4. Construct ∠BOC = 36° to represent angle of the sector of Steel. 

5. Construct ∠COD = 36° to represent angle of the sector of Bricks. 

6. Construct ∠DOE = 54° to represent angle of the sector of Timber. 

7 Construct ∠EOF = 72° to represent angle of the sector of Labour. 

8. Now ∠FOA = 54° to represent angle of the sector of Miscellaneous.

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