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Learn Constructing A Pie Chart

Introduction to learn constructing a pie chart

Apie chart is a pictorial representation of the numerical data by non-intersecting adjacent sectors of the circle such that area of each sector is proportional to the magnitude of the data represented by the sector.

Learn Steps of  constructing of a pie-chart:

  • Step I:  First calculate central angle of the for each data given using the following formula,

Central angle of each data =   (value of each data/ total sum of all data values) * 360

  • Step II:  Draw a circle of an appropriate radius.
  • Step III:  Draw a vertical radius coinciding with the 12 o' clock position of the hands of a clock.
  • Step IV:  Choose the largest central angle among all the data available and construct the angle using a protractor
  • Step V:  Construct the sector whose one radius coincides with the radius drawn in Step III.
  • StepVI:  Construct other sectors representing other data in clockwise direction in an descending order of magnitude of central angle among thedata available.
  • Step VII:  Shade the sectors so obtained by different patterns or design and label them.


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Learn constructing a pie chart through examples


1) How John spent $30 birthday money

How

Games

Books

Clothes

Sweets

Amount

$ 5

$8

$15

$2

Construct a pie chart to show the information 

Solution:

Step I :    To calculate the central angle for each data

           Total amount = Total sum of all data = 30

          Central angle for games  =  `[(5)/(30)]*360 = 60`

          Central angle for Books =   `[(8)/(30)]*360 = 96`

          Central angle for clothes =  `[(15)/(30)]*360 = 180`

          Central angle for sweets  =  `[(2)/(30)]*360 = 24`

Step II:  Construct a circle of an appropriate radius.

shapes

Step III: Draw a vertical radius

step2

Step IV: Construct the largest central angle using a protractor.  Here, the largest central angle is 180

step3

Step V:  Construct all the other sectors by constructing the central angle

step4

Step VI:  Shade the sectors

step5


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Learn some more examples of constructing a pie chart


2) A survey of how 40 people go to work

Mode

Bus

Train

Car

Walk

Cycle

Number of people

6

15

12

3

4

 

Solution:

  Total sum of all data = 40

   Central angle of  bus = `[(6)/(40)]*360 = 54`

   Central angle of  train = `[15/40]*360 = 135`

   Central angle of car  =  `[(12)/(40)]*360 = 108`

   Central angle of walk =  `[3/40]*360 = 27`

   Central angle of cycle  =  `[4/40]*360 = 36`

  Example2


Learn constructing a pie chart by solving these problems:


1)  

Year

  2005

2006

2007

2008

Number of students

600

450

630

320

 Construct a pie chart to represent the number of students in a school from 2005-2008.

2)

Sports

Baseball

Football

Soccer

 Boxing

Swimming

Number of people

25

22

8

5

30


Construct a pie chart to represent the number of people playing different sports.