# RS Aggarwal Class 8 Math Twenty-Four Chapter Pie Charts Exercise 24A Solution

(1) The monthly income of a family is Rs 28800. The monthly expenditure of the family on various items is given below.

 Item Rent Food Clothing Education Savings Expenditure (in Rs) 8000 10800 5600 3600 800

Represent the above data by a pie chart.

Solution: Total money = Rs 28800

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 100o, 135o, 70o, 45o, 10o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure. (2) There are 900 creatures in a zoo as per list given below:

 Beast animals Other land animals Birds Water animals Reptiles 150 400 175 125 50

Represent the above data by a pie chart.

Solution: Total creatures = 900

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 60o, 160o, 70o, 50o, 20o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure. (3) Various modes of transport used by 1260 students in a given school are given below:

 School bus Private bus Bicycle Rickshaw On foot 350 245 210 175 280

Represent the above data by a pie chart.

Solution: Total transport = 1260

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 100o, 70o, 60o, 5o, 8o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure. (4) The data given below shows number of hours spent by a school boy on different activities on a working day.

 Activity School Homework Play Sleep Others Total Number of hours 7 4 2 8 3 24

Represent the above data by a pie chart.

Solution: Total spent time = 24

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 105o, 60o, 30o, 120o, 45o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure. (5) The data on religion wise division of 1080 workers of a factory are given below:

 Religion Hindu Muslim Sikh Christian Number of workers 450 270 255 105

Draw a pie chart to represent the above data.

Solution: Total worker = 1080

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 105o, 90o, 85o, 35o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure. (6) The marks obtained by Sudhir in an examination are given below:

 Subject English Hindi Mathematics Science Social Science Marks obtained 105 75 150 120 90

Represent the above data by a pie chart.

Solution: Total marks obtained = (105+75+150+120+90) = 540

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are 70o, 50o, 100o, 80o, 60o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure.

(7) The following table gives the number of different fruits kept in a hamper.

 Type of fruit Mangoes Apples Oranges Coconuts Pomegranates Number 26 30 21 5 8

Represent the above data by a pie chart.

Solution: Total number of fruits = (26+30+21+5+8) = 90

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are104o, 120o, 84o, 20o, 32o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure.

(8) The following data shows the agriculture production in India during a certain year.

 Food grain Rice Wheat Coarse cereals pulses Production (in millions of tonnes) 57 76 38 19

Draw a pie chart to represent the above data.

Solution: Total production = (57+76+38+19) = 190

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are108o, 144o, 72o, 36o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure.

(9) Given below is the result of an annual examination of a class, showing the percentage of students in each category.

 First division Second division Third division Failed 25% 45% 20% 10%

Represent the above data by a pie chart.

Solution: Total percentage = (25+45+20+10) = 100

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are90o, 162o, 72o, 36o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure.

(10) The following table shows the percentages of buyers of four different brands of bathing soaps.

 Brand A B C D Percentage of buyers 20% 40% 25% 15%

Represent the above data by a pie chart.

Solution: Total percentage = (20+40+25+15) = 100

Calculation of central angles Construction of pie chart

(i) Draw a circular of any convenient radius.

(ii) Draw a horizontal radius of this circle.

(iii) Starting from the horizontal radius, draw sectors whose central angles are72o, 144o, 90o, 54o.

(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.

Thus, we obtain the required pie chart, as shown in the adjoining figure.

Updated: December 31, 2018 — 2:36 pm

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