Rs Aggarwal 2020 2021 for Class 8 Maths Chapter 24 - Pie Charts

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Rs Aggarwal 2020 2021 Solutions for Class 8 Maths Chapter 24 Pie Charts are provided here with simple step-by-step explanations. These solutions for Pie Charts are extremely popular among Class 8 students for Maths Pie Charts Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2020 2021 Book of Class 8 Maths Chapter 24 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2020 2021 Solutions. All Rs Aggarwal 2020 2021 Solutions for class Class 8 Maths are prepared by experts and are 100% accurate.

Page No 274:

Answer:

Monthly income of the family = ₹28,800

$Central angle for each item = (\frac{Expenditure per month on various items}{Monthly income} \times 360) °$

Calculation of central angles

Items	Expenditure(in ₹)	Central angle
Rent	8000	100º
Food	10800	135º
Clothing	5600	70º
Education	3600	45º
Savings	800	10º

Construction of pie chart
Steps of construction
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of this circle.
3. Draw sectors whose central angles are 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.

Page No 275:

Answer:

$Total number of creatures = 900 Central angle of each component = (\frac{number of creatures in each type}{total number of creatures} \times 360) ° Calculation of central angles$

Creatures	Number of creatures	Central angle
Beast animals	150	$60 °$
Other land animals	400	$160 °$
Birds	175	$70 °$
Water animals	125	$50 °$
Reptiles	50	$20 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of this circle . 3 . Draw sectors whose central angles are 60 °, 160 °, 70 °, 50 ° and 20 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total number of students = 1260 Central angle of each component = (\frac{number of students using that mode}{total number of students} \times 360) ° Calculation of central angles$

Mode of transport	Number of students	Central angle
School bus	350	$100 °$
Private bus	245	$70 °$
Bicycle	210	$60 °$
Rickshaw	175	$50 °$
On foot	280	$80 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of this circle . 3 . Draw sectors whose central angles are 100 °, 70 °, 60 °, 50 ° and 80 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total number of hours = 24 Central angle of each component = (\frac{number of hours spent on each activity}{total number of hours} \times 360) ° Calculation of central angles$

Activity	Number of hours	Central angle
School	7	$105 °$
Home work	4	$60 °$
Play	2	$30 °$
Sleep	8	$120 °$
Others	3	$45 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of this circle . 3 . Draw sectors whose central angles are 105 °, 60 °, 30 °, 120 ° and 45 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total number of workers = 1080 Central angle of each religion = (\frac{number of workers in each religion}{total number of workers} \times 360) ° Calculation of central angles$

Religion	Marks obtained	Central angle
Hindu	450	$150 °$
Muslim	270	$90 °$
Sikh	255	$85 °$
Christian	105	$35 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of this circle . 3 . Draw sectors whose central angles are 150 °, 90 °, 85 ° and 35 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total marks obtained = (105 + 75 + 150 + 120 + 90) = 540 Central angle of each subject = (\frac{marks obtained in each subject}{total marks obtained} \times 360) ° Calculation of central angles$

Subject	Marks obtained	Central angle
English	105	$70 °$
Hindi	75	$50 °$
Mathematics	150	$100 °$
Science	120	$80 °$
Social science	90	$60 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of this circle . 3 . Draw sectors whose central angles are 70 °, 50 °, 100 °, 80 ° and 60 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total number of fruits = (26 + 30 + 21 + 5 + 8) = 90 Central angle of each fruit = (\frac{number of each type of fruit}{total number of fruits} \times 360) ° Calculation of central angles$

Types of fruit	Number	Central angle
Mangoes	26	$104 °$
Apples	30	$120 °$
Oranges	21	$84 °$
Coconuts	5	$20 °$
Pomegranates	8	$32 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of the circle . 3 . Draw sectors whose central angles are 104 °, 120 °, 84 °, 20 ° and 32 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 275:

Answer:

$Total production = (57 + 76 + 38 + 19) = 190 Central angle of each foodgrain = (\frac{production of each foodgrain}{total production} \times 360) ° Calculation of central angles$

Food grain	production (in millions of tonnes)	Central angle
Rice	57	$108 °$
Wheat	76	$144 °$
Coarse cereals	38	$72 °$
Pulses	19	$36 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of the circle . 3 . Draw sectors whose central angles are 108 °, 144 °, 72 ° and 36 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 276:

Answer:

$Total percentage = 100 Central angle of each category = (\frac{value (in %) of each category}{100} \times 360) ° Calculation of central angles$

Category	Result (in %)	Central angle
First division	25	$90 °$
Second division	45	$162 °$
Third division	20	$72 °$
Failed	10	$36 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of the circle . 3 . Starting from the horizontal radius, draw sectors whose central angles are 90 °, 162 °, 72 ° and 36 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 276:

Answer:

$Total percentage = 100 Central angle of each brand = (\frac{value (in %) of each brand}{100} \times 360) ° Calculation of central angles :$

Brand	Buyers (in %)	Central angle
A	20	$72 °$
B	40	$144 °$
C	25	$90 °$
D	15	$54 °$

Construction of pie chart Steps of construction : 1 . Draw a circle of any convenient radius . 2 . Draw a horizontal radius of th e circle . 3 . Draw sectors whose central angles are 72 °, 144 °, 90 ° and 54 ° . 4 . Shade the sectors so obtained differently and label each one of them . Thus, we obtain the required pie chart as shown in the figure below .

Page No 276:

Answer:

(b) $37 \frac{1}{2} °$
$Central angle of the sector representing travel expenses = (\frac{value of expenses on travel}{monthly income} \times 360) °$
$= (\frac{250}{2400} \times 360) ° = 37 \frac{1}{2} °$

Page No 276:

Answer:

(c) 126°
$Central angle of the sector representing the sikh community = (\frac{value (in %) of the sikh community}{100} \times 360) °$
$= (\frac{35}{100} \times 360) ° = 126 °$

Page No 276:

Answer:

(a) 220

$Let the required number of students be x . Then we have : (\frac{x}{1650} \times 360) = 48 \Rightarrow \frac{360 x}{1650} = 48 \Rightarrow x = (48 \times \frac{1650}{360}) \Rightarrow x = 220 Hence, the number of students who opted for arts stream is 220 .$

Page No 276:

Answer:

(c) $22 \frac{1}{2} %$

$Let the required percentage be x . Then we have : (\frac{x}{100} \times 360) = 81 \Rightarrow \frac{360 x}{100} = 81 \Rightarrow x = (81 \times \frac{100}{360}) \Rightarrow x = \frac{45}{2} \Rightarrow x = 22 \frac{1}{2} Hence, the percentage of students who are interested in reading novels is 22 \frac{1}{2} % .$

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