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?
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
This bar graph shows the maximum temperatures in degrees Celsius in different cities on a certain day in February. Observe the graph and answer the questions.
- What data is shown on the vertical and the horizontal lines?
- Which city had the highest temperature?
- Which cities had equal maximum temperatures?
- Which cities had a maximum temperature of 30° C?
- What is the difference between the maximum temperatures of Panchgani and Chandrapur?
The names of the heads of some families in a village and the quantity of drinking water their family consumes in one day are given below. Draw a bar graph for this data.
(Scale: On Y-axis, 1cm = 10 litres of water)
| Name | Ramesh | Shobha | Ayub | Julie | Rahul |
| Litres of water used | 30 litres | 60 litres | 40 litres | 50 litres | 55 litres |
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 |
Students planted trees in 5 villages of Sangli district. Make a bar graph of this data. (Scale: on Y-axis, 1cm = 100 trees)
| Name of place | Dudhgaon | Bagni | Samdoli | Ashta | Kavathepiran |
| No. of trees planted | 500 | 350 | 600 | 420 | 540 |
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 |
Write the names of four of your classmates. Beside each name, write his/her weight in kilograms. Enter this data in a table like the above and make a bar graph.
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 |
The pictograph below gives the number of absentees on different days of the week in class six. Draw the Bar graph for the same.
| Day | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
| Number of Absentees |  |
 |
 |
 |
-- |  |
represents 4 students represents 2 students
A bar graph can be drawn using ______________
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 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.
The following table shows the number of bicycles manufactured in a factory from the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice.
| Years | Number of bicycles manufactured |
| 1998 | 800 |
| 1999 | 600 |
| 2000 | 900 |
| 2001 | 1100 |
| 2002 | 1200 |
- In which year was the maximum number of bicycles manufactured?
- In which year was the minimum number of bicycles manufactured?
The number of people in various age groups in a town is given in the following table.
| Age group | 1-14 | 15-29 | 30-44 | 45-59 | 60-74 | 75 and above |
| Number of persons | 2 lakhs |
1 lakh |
1 lakh |
1 lakh |
80 thousand | 40 thousand |
Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands)
- Which two age groups have the same population?
- All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?
