Math, asked by knxeo, 22 days ago

Draw a pie chart to represent following data
Sport: cricket hockey football tennis
No of players: 100 192 140 48

Answers

Answered by mgurumurthy81
0

Answer:

1. Calculate the central angle for each component, given by

Central angle of component = Value of the componentTotal value × 360°

2. Draw a circle of convenient radius.

3. Within this circle, draw a horizontal radius.

4. Starting with the horizontal radius, draw radii making central angles corresponding to the values of the respective components, till all the components are exhausted. These radii divide the whole circle into various sectors.

5. Shade each sector with different design.

This will be the required pie chart for the given data.

Pie chart examples on how to do a pie chart:

1. Mr. Bin's with a yearly salary of $ 10800 plans his budget for a year as given below:

Item Food Education Rent Savings Miscellaneous

Amount (in dollar)

3150

1950

2100

2400

1200

Represent the above data by a pie graph.

Solution:

Total amount earned by Mr. Bin in a year = $ 10800.

Central angle of component = Value of the componentTotal value × 360°

Calculation of central angles

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

Step-by-step explanation:

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