Consumption
Greenery
90°
36
Community
Combo and
swimming
pool
234
Apartments
he distribution of land in Dream Housing Society is shown in the pie chart below. Given that the total land are
the farming society is 162000 m, represent the data in the tabular form.
Answers
Answer:
Item Amount (in $) Central Angle
Food
3150
(³¹⁵/₁₀₈₀₀ × 360)° = 105°
Education
1950
(¹⁹⁵/₁₀₈₀₀ × 360)° = 65°
Rent
2100
(²¹/₁₀₈₀₀ × 360)° = 70°
Savings
2400
(²⁴/₁₀₈₀₀ × 360)° = 80°
Miscellaneous
1200
(¹²/₁₀₈₀₀ × 360)° = 40°
Construction of making pie chart
Steps of construction:
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of this circle.
3. Draw sectors starting from the horizontal radious with central angles of 105 degree, 65 degree, 70 degree, 80 degree and 40 degree respectively.
4. Shade the sectors differently using different colors and label them.
Thus, we obtain the required pie chart, as shown in the given figure.
2. The data on the mode of transport used by 720 students are given below:
Mode of Transport Bus Cycle Train Car Scooter
No. of Students
120
180
240
80
100
Represent the above data by a pie chart.
Solution:
Total number of students = 720.
Central angle for a mode of transport = Number of students using that modeTotal number of students × 360°
Calculation of central angles
Mode of Transport No. of Students Central Angle
Bus
120
(¹²/₇₂₀ × 360)° = 60°
Cycle
180
(¹⁸/₇₂₀ × 360)° = 90°
Train
240
(²⁴/₇₂₀ × 360)° = 120°
Car
80
(⁸/₇₂₀ × 360)° = 40°
Scooter
100
(¹/₇₂₀ × 360)° = 50°
Construction for creating pie chart
Steps of construction:
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of this circle.
3. Draw sectors starting from the horizontal radious with central angles of 60 degree, 90 degree, 120 degree , 40 degree and 50 degree respectively.
4. Shade the sectors differently using different colors and label them.
Thus, we obtain the required pie chart, as shown in the given figure.
3. There are 216 workers in a factory as per list given below:
Cadre Labourer Mechanic Fitter Supervisor Clerk
No. of Workers
75
60
36
27
18
Represent the above data by a pie chart.
Solution:
Total number of workers = 216.
Central angle for a cadre = Number of workers in that cadreTotal number of workers × 360°
Calculation of central angles
Cadre No. of Workers Central Angle
Labourer
75
(⁷⁵/₂₁₆ × 360)° = 125°
Mechanic
60
(⁶/₂₁₆ × 360)° = 100°
Fitter
36
(³⁶/₂₁₆ × 360)° = 60°
Supervisor
27
(²⁷/₂₁₆ × 360)° = 45°
Clerk
18
(¹⁸/₂₁₆ × 360)° = 30°
Construction to make a pie graph
Steps of construction:
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of this circle.
3. Draw sectors starting from the horizontal radious with central angles of 125 degree, 100 degree, 60 degree, 45 degree and 30 degree respectively.
4. Shade the sectors differently using different colors and label them.
Thus, we obtain the required pie chart, as shown in the given figure.
4. The following table shows the expenditure in percentage incurred on the construction of a house in a city:
Item Brick Cement Steel Labour Miscellaneous
Expenditure
(in percentage)
15%
20%
10%
25%
30%
Represent the above data by a pie chart.
Solution:
Total percentage = 100.
Central angle for a component = Value of the component100 × 360°
Calculation of central angles
Item Expenditure (in percentage) Central Angle
Brick
15%
(¹⁵/₁₀₀ × 360)° = 54°
Cement
20%
(²/₁₀₀ × 360)° = 72°
Steel
10%
(¹/₁₀₀ × 360)° = 36°
Labour
25%
(²⁵/₁₀₀ × 360)° = 90°
Miscellaneous
30%
(³/₁₀₀ × 360)° = 108°
Construction for creating pie chart
Steps of construction:
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of the circle.
3. Draw sectors starting from the horizontal radious with central angles of 54 degree, 72 degree, 36 degree, 90 degree and 108 degree respectively.
4. Shade the sectors differently using different colors and label them.
Thus, we obtain the required pie chart, shown in the adjoining figure.
● Pie Charts or Pie Graphs
Pie Chart
● Pie Charts or Pie Graphs - Worksheets
Worksheet on Pie Chart
8th Grade Math Practice
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