Complete the table given below and then draw a pie chart to express the amount spent by five teenaged boys A, B, C, D and E on recreation, in a month. Boy A B C D E Total Expenditure on recreation (in ₹ ) 510 x 450 y 300 2160 Central angle θ 1 80 ° θ 2 70 ° θ 3 360 °

Complete the table given below and then draw a pie chart to express the amount spent by five teenaged boys A, B, C, D and E on recreation, in a month. Boy A B C D E Total Expenditure on recreation (in ₹ ) 510 x 450 y 300 2160 Central angle θ 1 80 ° θ 2 70 ° θ 3 360 ° Equating the sum of central angles to the total expenditure by the five teenaged boys, we get: 360 ° = 2160 ⇒ 1 ° = 2160 360 = ₹ 6 . . . ( 1 ) Using ( 1 ) , the table can now be completed as given below: Boy A B C D E Total Expenditure on recreation (in ₹ ) 510 480 450 420 300 2160 Central angle 85 ° 80 ° 75 ° 70 ° 50 ° 360 ° Now we draw a pie chart using the following steps of construction: 1 . Draw a circle with any convenient radius. 2 . Using the protractor, draw sectors corresponding to the central angles calculated in the table above. 3 . Shade/Color the sectors so obtained differently. 4 . Label each sector. Thus we obtain the required pie chart as shown in the figure given below:

E M B I B E

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>EXERCISE>Q 12

MEDIUM

8th CBSE

IMPORTANT

Earn 100

The pie chart in Figure $1$ shows the expenditure of a showroom on various heads. If the total expenditure is $₹ 9 lakh$ , find the expenditure on individual heads.

Important Questions on Data Handling III Pie Charts or Circle Graphs

MEDIUM

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>EXERCISE>Q 13

A pie chart representing the population of senior citizens in four metropolitan cities is given in Figure $2$ . If the total population of senior citizens is $18 lakh$ , read the pie chart and find the population of senior citizens in Delhi, Mumbai, Chennai and Kolkata.
Question Image

HARD

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>HOTS>Q 1

Complete the table given below and then draw a pie chart to express the amount spent by five teenaged boys A, B, C, D and E on recreation, in a month.

Boy	A	B	C	D	E	Total
Expenditure on recreation (in $₹$ )	$510$	$x$	$450$	$y$	$300$	$2160$
Central angle	$θ_{1}$	$80 °$	$θ_{2}$	$70 °$	$θ_{3}$	$360 °$

MEDIUM

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>HOTS>Q 2

The given pie chart represents the different categories of wasteland in a country. If the total area of wasteland in that country is $144$ million hectares, then find the following:
The area of saline and alkaline lands.

Question Image

MEDIUM

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>HOTS>Q 2

The given pie chart represents the different categories of wasteland in a country. If the total area of wasteland in that country is $144$ million hectares, then find the percentage of water eroded area. (Estimate answer to two decimal places)

Question Image

MEDIUM

8th CBSE

IMPORTANT

Number Magic a textbook of Mathematics 8>Chapter 9 - Data Handling III Pie Charts or Circle Graphs>HOTS>Q 2

The given pie chart represents the different categories of wasteland in a country. If the total area of wasteland in that country is $144$ million hectares, then find the following:
The ratio of forest degraded area to wind eroded area.

Question Image