Advertisements
Advertisements
Question
The number of hours, spent by a school boy in different activities in a day is given below :
| Activity | Sleep | School | Play | Homework | Others | Total |
| Number of Hours | 7 | 7 | 2 | 4 | 4 | 24 |
Represent the above information using a pie diagram.
Solution
| Activity | No. of Hours | θ = Measure of Central angle |
| Sleep | 7 | `7/24 xx 360 = 105` |
| School | 7 | `7/24 xx 360 = 105` |
| Play | 2 | `2/24 xx 360 = 30` |
| Homework | 4 | `4/24 xx 360 = 60` |
| Other | 4 | `4/24 xx 360 = 60` |
| Total | 24 | 360 |
Pie Diagram
APPEARS IN
RELATED QUESTIONS
The sales of salesmen in a week are given in the pie diagram. Study the diagram and answer the following questions. If the total sale due to salesmen A is Rs. 18,000, then
a) Find the total sale.
b) Find the sale of each salesman.
c) Find the salesman with the highest sale.
d) Find the difference between the highest sale and the lowest sale.
Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
| Colours | Number of people |
| Blue | 18 |
| Green | 9 |
| Red | 6 |
| Yellow | 3 |
| Total | 36 |
Find the proportion of each sector. For example, blue is `18/36 = 1.2` ; green is `9/36 = 1/4` and so on. Use this to find the corresponding angles.
The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.
(1) If the investment in shares is ₹ 2000, find the total investment.
(2) How much amount is deposited in the bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?
Draw a pie-diagram of the areas of continents of the world given in the following table:
| Continents | Asia | U.S.S.R | Africa | Europe | Noth America | South America | Australia |
| Area (in million sq. km) |
26.9 | 20.5 | 30.3 | 4.9 | 24.3 | 17.9 | 8.5 |
Following data gives the break up of the cost of production of a book:
| Printing | Paper | Binding charges | Advertisement | Royalty | Miscellaneous |
| 30% | 15% | 15% | 20% | 10% | 15% |
Draw a pie- diagram depicting the above information.
Draw a pie-diagram for the following data of the investment pattern in a five year plan:
| Agriculture | Irrigation and Power | Small Industries | Transport | Social service | Miscellaneous |
| 14% | 16% | 29% | 17% | 16% | 8% |
The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided.
Complete the following activity to find the measure :
| Places |
Supply of electricity |
Measure of central angle |
| Roads | 4 | `4/30 xx 360 = 48^circ` |
| Factories | 12 | `square/square xx 360 = 144^circ` |
| shops | 6 | `6/30 xx 360 = square` |
| Houses | 8 | `square/square xx 360 = square` |
| Total ⇒ | 30 | `square` |
The pie diagram in figure shows the proportions of different workers in a town. Answer the following question with its help.
How many workers are working in the administration ?
Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am
(1) Find the central angle for each type of vehicle.
(2) If the number of two-wheelers is 1200, find the number of all vehicles.
Medical check up of 180 women was conducted in a health centre in a village. 50 of them were short of haemoglobin, 10 suffered from cataract and 25 had respiratory disorders. The remaining women were healthy. Show the information by a pie diagram.
The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :
Find the central angle for labour expenditure.
| ordinary bread | 320 |
| fruit bread | 80 |
| cakes and pastries | 160 |
| biscuits | 120 |
| others | 40 |
|
Total
|
720 |
Sum of all the central angles in a pie chart is 360°.
From the given pie chart, we can infer that production of Manganese is least in state B.
The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.
| Animals | Number of animals |
| Deer | 42 |
| Elephant | 15 |
| Giraffe | 26 |
| Reptiles | 24 |
| Tiger | 13 |
A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the findings of this survey.
From this pie chart answer the following:
- Which type of beverage is liked by the maximum number of people.
- If 45 people like tea, how many people were surveyed?
Identify which symbol should appear in each sector.
Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.
Now answer the following questions.
- Which type of media advertising is the greatest amount of the total?
- Which type of media advertising is the least amount of the total?
- What percent of the total advertising amount is spent on direct mail campaigns?
- What percent of the advertising amount is spent on newspaper and magazine advertisements?
- What media types do you think are included in miscellaneous? Why aren’t those media types given their own category?
- Television
- Newspapers
- Magazines
- Radio
- Business papers
- Direct mail
- Yellow pages
- Outdoor
- Miscellaneous
