Advertisements
Advertisements
Question
Percentage of the different products of a village in a particular district are given below. Draw a pie-chart representing this information.
| Items | Wheat | Pulses | Jwar | Grounnuts | Vegetables | Total |
| % | `125/3` | `125/6` | `25/2` | `50/3` | `25/3` | 100 |
Solution
We know:
Central angle of a component = (component value/sum of component values x 360ο)
Here, the total % of items = 100
Thus, the central angle for each component can be calculated as follows:
| Item | In % | Sector angle | |
| Wheat | 125/3 | 41.66 | 41.66/100 x 360 = 149.97 |
| Pulses | 125/6 | 20.83 | 20.83/100 x 360 = 74.98 |
| Jwar | 25/2 | 12.5 | 12.5/100 x 360 = 45 |
| Groundnuts | 50/3 | 16.66 | 16.66/100 x 360 = 59.97 |
| Vegetables | 25/3 | 8.33 | 8.33/100 x 360 = 29.98 |
Now, the pie chat representing the given data can be constructed by following the steps below:
Step 1 : Draw circle of an appropriate radius.
Step 2 : Draw a vertical radius of the circle drawn in step 1.
Step 3 : Choose the largest central angle. Here the largest central angle is 149.97o. Draw a sector with the central angle 149.97o in such a way that one of its radii coincides with the radius drawn in step 2 and another radius is in its counter clockwise direction.
Step 4 : Construct other sectors representing other items in the clockwise sense in descending order of magnitudes of their central angles.
Step 5 : Shade the sectors with different colours and label them, as shown as in the figure below.
APPEARS IN
RELATED QUESTIONS
The following pie diagram represents the sectorwise loan amount in crores of rupees distributed by a bank. From the information answer the following questions :
a. If the dairy sector receives `20 crores, then find the total loan disbursed.
b. Find the loan amount for agriculture sector and also for industrial sector.
c. How much additional amount did industrial sector receive than agriculture sector?
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 adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.
- In which subject did the student score 105 marks?
(Hint: For 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?) - How many more marks were obtained by the student in Mathematics than in Hindi?
- Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
(Hint: Just study the central angles)
The number of students in a hostel speaking different languages is given below. Display the data in a pie chart.
| Language | Hindi | English | Marathi | Tamil | Bengali | Total |
| Number of students | 40 | 12 | 9 | 7 | 4 | 72 |
Find the correct answer from the alternatives given.
Different expenditures incurred on the construction of a building were shown by a pie diagram. The expenditure Rs 45,000 on cement was shown by a sector of central angle of 75°. What was the total expenditure of the construction ?
The number of hours, spent by a school boy on different activities in a working day, is given below:
| Activities | Sleep | School | Home | Play | Others | Total |
| Number of hours | 8 | 7 | 4 | 2 | 3 | 24 |
Present the information in the form of a pie-chart.
Employees of a company have been categorized according to their religions as given below:
| Religions | Hindu | Muslim | Sikh | Christian | Total |
| Number of workers | 420 | 300 | 225 | 105 | 1080 |
Draw a pie-chart to represent the above information.
The following table shows the expenditure incurred by a publisher in publishing a book:
| Items | Paper | Printing | Binding | Advertising | Miscellaneous |
| Expenditure (in%) | 35% | 20% | 10% | 5% | 30% |
Present the above data in the form of a pie-chart.
Represent the following data by a pie-diagram:
| Items of expenditure | Expenditure | |
| Family A | Family B | |
| Food | 4000 | 6400 |
| Clothing | 2500 | 480 |
| Rent | 1500 | 3200 |
| Education | 400 | 1000 |
| Miscellaneous | 1600 | 600 |
| Total | 10000 | 16000 |
Following is the break up of the expenditure of a family on different items of consumption:
| Items | Food | Clothing | Rent | Education | Fuel etc. | Medicine | Miscellaneous |
| Expenditure (in Rs) | 1600 | 200 | 600 | 150 | 100 | 80 | 270 |
Draw a pie-diagram to represent the above data.
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 following table shows causes of noise pollution. Show it by a pie diagram.
|
Construction
|
Traffic | Aircraft take offs | Industry | Trains |
| 10% | 50% | 9% | 20% | 11% |
On an environment day, students in a school planted 120 trees under plantation project. The information regarding the project is shown in the following table. Show it by a pie diagram.
|
Tree name
|
Karanj | Behada | Arjun | Bakul | Kadunimb |
| No. of trees | 20 | 28 | 24 | 22 | 26 |
Absentees record of a class of 30 children is given in a graph.
(i) In which month there are more absentees?
(ii) In which month there are less absentees?
| Age group (in years) |
No. of Persons | Measure of central angle |
| 20 – 25 | 80 | `square/200 xx 360^circ = square` |
| 25 – 30 | 60 | `60/200 xx 360^circ = square` |
| 30 – 35 | 35 | `35/200 xx square = 63^circ` |
| 35 – 40 | 25 | `25/200 xx 360^circ = square` |
| Total | 200 | `square` |
Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow:
- How many children spend at least one hour in playing games?
- How many children spend more than 2 hours in playing games?
- How many children spend 3 or lesser hours in playing games?
- Which is greater — number of children who spend 2 hours or more per day or number of children who play for less than one hour?
Study the pie chart given below depicting the marks scored by a student in an examination out of 540. Find the marks obtained by him in each subject.
Shoes of the following brands are sold in Nov. 2007 at a shoe store. Construct a pie chart for the data.
| Brand | Number of pair of shoes sold |
| A | 130 |
| B | 120 |
| C | 90 |
| D | 40 |
| E | 20 |
