Advertisements
Advertisements
प्रश्न
Draw a graph for the radius and circumference of circle using a suitable scale.
(Hint: Take radius = 7, 14, 21 units and so on)
From the graph,
- Find the circumference of the circle when radius is 42 units.
- At what radius will the circumference of the circle be 220 units?
Advertisements
उत्तर
If radius is 7 units, then circumference of the circle = 2 × π × 7
= `2 xx 22/7 xx 7` ...[∵ Circumference of a circle = 2πr]
= 2 × 22
= 44 units
If radius is 14 units, then circumference = 2 × π × 14
= `28 xx 22/7`
= 88 units
If radius is 21 units, then circumference = 2 × π × 21
= `42 xx 22/7`
= 132 units
If radius is 28 units, then circumference = 2 × π × 28
= `56 xx 22/7`
= 176 units
If radius is 35 units, then circumference = 2 × π × 35
= `70 xx 22/7`
= 220 units
If radius is 42 units, then circumference = 2 × π × 42
= `84 xx 22/7`
= 264 units
Table for the graph,
| Radius of the circle | 7 | 14 | 21 | 28 | 35 | 42 |
| Circumference of the circle | 44 | 88 | 132 | 176 | 220 | 264 |
Graph from the above data
- The circumference of the circle will be 264 units when radius is 42 units.
- The radius of the circle will be 35 units, when the circumference of the circle equals 220 units.
APPEARS IN
संबंधित प्रश्न
The table below gives the number of children who took part in the various items of the talent show as part of the annual school gathering. Make a bar graph to show this data.
(Scale: on Y-axis, 1cm = 4 children)
| Programme | Theatre | Dance | Vocal music | Instrumental music | One-act plays |
| No. of students | 24 | 40 | 16 | 8 | 4 |
The number of customers who came to a juice centre for one week is given in the table below. Make two different bar graphs to show this data. (Scale: on Y-axis, 1cm = 10 customers, on Y - axis, 1cm = 5 customers)
| Type of juice | Orange | Pineapple | Apple | Mango | Pomegranate |
| No. of Customers | 50 | 30 | 25 | 65 | 10 |
Yashwant gives different amounts of time as shown below, to different exercises he does during the week. Draw a bar graph to show the details of his schedule using an appropriate scale.
| Type of exercise | Running | Yogasanas | Cycling | Mountaineering | Badminton |
| Time | 35 Minutes | 50 minutes | 1 hr 10 min | `1 1/2` hours | 45 minutes |
The following data gives total marks (out of 600) obtained by six children of a particular class. Represent the data on a bar graph.
| Students | Ajay | Bali | Dipti | Faiyaz | Geetika | Hari |
| Marks Obtained | 450 | 500 | 300 | 360 | 400 | 540 |
The fruits liked by the students of a class are as follow: Draw a Bar Graph for this data.
| Fruits | Bananas | Grapes | Apples | Mangoes | Guavas | Papayas | Other fruits |
| Number of students |
8 | 10 | 8 | 7 | 12 | 3 | 2 |
A bar graph can be drawn using ______________
The table shows the number of moons that orbit each of the planets in our solar system.
| Planet | Mercury | Venus | Earth | Mars | Jupiter | Saturn | Uranus | Neptune |
| Number of Moons |
0 | 0 | 1 | 2 | 28 | 30 | 21 | 8 |
Make a Bar graph for the above data
The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.
| Lengths | Number of drumsticks |
| 24 | |||| |
| 25 | -- |
| 26 | -- |
| 27 | |||| | |
| 28 | -- |
| 29 | |||| ||| |
| 30 | |||| | |
| 31 | |||| |
Draw the bar graph showing the same information.
The score card of the players in a cricket match is given.
| Player Name | Score |
| Kannan | 60 |
| Rohit | 40 |
| Babu | 50 |
| Ramu | 10 |
Draw a Bar diagram
The cost of a note book is Rs 10. Draw a graph after making a table showing cost of 2, 3, 4, .... note books. Use it to find
- the cost of 7 notebooks.
- the number of note books that can be purchased with Rs 50.
Complete the given table and draw a graph.
| x | 0 | 1 | 2 | 3 |
| y = 3x + 1 | 1 | 4 | - | - |
The number of ATMs of different banks in a city is shown below:
| Bank | Number of ATMs |
| Syndicate Bank | 5 |
| Dena Bank | 15 |
| Indian Bank | 20 |
| State Bank of India | 25 |
| Vijaya Bank | 10 |
Draw a bar graph to represent the above information by choosing the scale of your choice.
The following table represents income of a Gram Panchayat from different sources in a particular year:
| Sources | Income (in Rs.) |
| Income from local taxes | 75000 |
| Funds received from government | 150000 |
| Donations | 25000 |
| Income from other resources | 50000 |
Draw a bar graph to represent the above information.
Home appliances sold by a shop in one month are given as below:
| Home appliance | Number of home appliances |
| Refrigerator | 75 |
| Television | 45 |
| Washing Machine | 30 |
| Cooler | 60 |
| DVD Player | 30 |
Draw a bar graph to represent the above information.
A survey of 120 school students was done to find which activity they prefer to do in their free time.
| Preferred activity | Number of students |
| Playing | 45 |
| Reading story books | 30 |
| Watching TV | 20 |
| Listening to music | 10 |
| Painting | 15 |
Draw a bar graph to illustrate the above data taking a scale of 1 unit length = 5 students.
Which activity is preferred by most of the students other than playing?
The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:
| Days | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday |
| Number of books sold |
65 | 40 | 30 | 50 | 20 | 70 |
Draw a bar graph to represent the above information choosing the scale of your choice.
In a vertical bar graph, what type of information is conventionally represented on the X-axis (Horizontal Axis)?
Which element is classified as representing the "numerical values (frequency, amount, or measure)" in a bar graph?
A bar graph shows Gujiya (13 students), Jalebi (6 students), and Barfi (3 students). Which sweet is least preferred based on bar height?
