| Education | Health | Clothes | Food |
|---|---|---|---|
| Rs. 96,000 | Rs. 40,000 | Rs. 64,000 | Rs. 1,20,000 |
The pie chart in activity 1 is prepared on the basis of details of yearly expenditure of Gyanendra's family. The expenditure is on health, clothes and food in his family. The complete angle is 360° at the centre of circle. How the total expenditure should be divided into 360° with their heading?
Similar to the above process, construct the pie chart of yearly expenditure of Aappa's family.
| Titles | Expenditure | Angle at the centre |
|---|---|---|
| Education | Rs. 96,000 | (360°/320000) * 96000 = 108° |
| Health | Rs. 40,000 | (360°/320000) * 40000 = 45° |
| Clothes | Rs. 64,000 | (360°/320000) * 64000 = 72° |
| Food | Rs. 1,20,000 | (360°/320000) * 120000 = 135° |
| Total | Rs. 3,20,000 | 360° |
✓ Pie chart constructed using central angles: Education 108°, Health 45°, Clothes 72°, Food 135°
| The place for educational tour | Pokhara | Lumbini | Illam | Kathmandu | Total |
|---|---|---|---|---|---|
| Number of students | 75 | 55 | 81 | 42 | 253 |
The students of Yuba Secondary School are going for an educational tour. They are asked where they would like to visit: Pokhara, Lumbini, Illam or Kathmandu. Present the given data in a pie chart.
| Place | No. of Students | Angle at the centre |
|---|---|---|
| Pokhara | 75 | (360°/253) × 75 = 107° |
| Lumbini | 55 | (360°/253) × 55 = 78° |
| Illam | 81 | (360°/253) × 81 = 115° |
| Kathmandu | 42 | (360°/253) × 42 = 60° |
| Total | 253 | 360° |
✓ Pie chart constructed using central angles: Pokhara 107°, Lumbini 78°, Illam 115°, Kathmandu 60°
Mathematics, Grade 8
| Title | Food | Health | Miscellaneous | Saving | Total |
|---|---|---|---|---|---|
| Sum of money (in percent) | 20 | 15 | 35 | 30 | 100 |
The detail of distribution of Dipendra's monthly expenditure in different titles and saving amount is given in the table above. Present it in a pie chart.
| Title | Percentage (%) | Angle at the centre |
|---|---|---|
| Food | 20% | (360°/100) × 20 = 72° |
| Health | 15% | (360°/100) × 15 = 54° |
| Miscellaneous | 35% | (360°/100) × 35 = 126° |
| Saving | 30% | (360°/100) × 30 = 108° |
| Total | 100% | 360° |
✓ Pie chart constructed using central angles: Food 72°, Health 54°, Miscellaneous 126°, Saving 108°
Mathematics, Grade 8
| Grade | 5 | 6 | 7 | 8 | Total |
|---|---|---|---|---|---|
| Number of students | 45 | 55 | 40 | 60 | 200 |
The number of students who are studying from grade 5 to 8 in Gyan Jyoti Secondary School are given in the table above. Present it in a pie chart.
| Grade | No. of Students | Angle at the centre |
|---|---|---|
| Grade 5 | 45 | (360°/200) × 45 = 81° |
| Grade 6 | 55 | (360°/200) × 55 = 99° |
| Grade 7 | 40 | (360°/200) × 40 = 72° |
| Grade 8 | 60 | (360°/200) × 60 = 108° |
| Total | 200 | 360° |
✓ Pie chart constructed using central angles: Grade 5: 81°, Grade 6: 99°, Grade 7: 72°, Grade 8: 108°
Mathematics, Grade 8
A question 'which subject do you like?' is asked to the 480 students of Janta Secondary School. The following pie chart is prepared on the basis of the answers obtained from them. Study the pie chart and answer the following asked questions.
Questions:
(a) Find the number of students who like each subject?
(b) What is the difference between the number of students in the most and least favourite subjects? Find.
(c) What is the percentage of students who like Mathematics and Science and Technology?
| Subject | Angle | Number of Students | Percentage |
|---|---|---|---|
| Maths | 81° | (4/3) × 81 = 108 | 22.5% |
| Science & Tech. | 57° | (4/3) × 57 = 76 | 15.8% |
| Nepali | 114° | (4/3) × 114 = 152 | 31.7% |
| Social Studies | 108° | (4/3) × 108 = 144 | 30.0% |
| Total | 360° | 480 | 100% |
✅ Key Answers:
(a) Maths = 108, Science & Tech = 76, Nepali = 152, Social Studies = 144
(b) Difference (Most − Least) = 152 − 76 = 76 students
(c) Maths = 22.5% | Science & Technology = 15.8%
✓ All questions answered from the given pie chart.
Mathematics, Grade 8