Class 8 RD Sharma Solutions Chapter 25 Data Handling III (Pictorial Representation Of Data As Pie Charts Or Circle Graphs) Exercise 25.1 | Set 2 (original) (raw)

Last Updated : 23 Jul, 2025

Class 8 RD Sharma Solutions - Chapter 25 Data Handling III (Pictorial Representation Of Data As Pie Charts Or Circle Graphs) - Exercise 25.1 | Set 2

Today in this Article we are going to look at the answer of a renowned book named RD Sharma for class 8 Chapter 25 Data Handling III (Pictorial Representation Of Data As Pie Charts Or Circle Graphs) - Exercise 25.1 | Set 2. So let's first see the question.

Question 11. The following table shows how a student spends his pocket money during the course of a month. Represent it by a **pie diagram.

**Solution:

Given that, total Expenditure = 100%

Therefore,

Central angle = (component value/100) × 360°

Now the central angle for each activity will be calculated as follows:

**Items	**Expenditure (in %)	**Central Angle
Food	40	40/100 * 360 = 144
Entertainments	25	25/100 * 360 = 90
Other Expenditure	20	20/100 * 360 = 72
Saving	15	15/100 * 360 = 54

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle. Construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

Question 12. Represent the following data by a **pie chart:

**Solution:

Given that, the total expenditure of family A = 10000 and family B = 11680

Central angle for family A = (component value/10000) × 360°

Central angle for family B = (component value/11680) × 360°

Now the central angle for each activity will be calculated as follows :

**Items of Expenditure	**Expenditure Family A	**Expenditure Family B	**Central Angle of Family A	**Central Angle of Family B
Food	4000	6400	4000/10000 * 360 = 144	6400/11680 * 360 = 197.6
Clothing	2500	480	2500/10000 * 360 = 90	480/11680 * 360 = 14.8
Rent	1500	3200	1500/10000 * 360 = 54	3200/11680 * 360 = 98.6
Education	400	1000	400/10000 * 360 = 14.4	1000/11680 * 360 = 30.8
Miscellaneous	1600	600	1600/10000 * 360 =57.6	600/11680 * 360 = 18.5

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

**Question 13. Following data gives the break up of the cost of production of a book:

**Draw a **pie chart depicting the above information.

**Solution:

Given that, total cost of production of book = 105%

Therefore,

Central angle = (component value/105) × 360°

Now the central angle for each activity will be calculated as follows :

**Items	**Expenditure (in %)	**Central Angle
Printing	30	30/105 * 360 = 102.9
Paper	15	15/105 * 360 = 51.4
Binding Charges	15	15/105 * 360 = 51.4
Advertisement	20	20/105 * 360 = 68.6
Royalty	10	10/105 * 360 = 34.3
Miscellaneous	15	15/105 * 360 = 51.4

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle. Then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

Question 14. Represent the following data with the help of **pie chart:

**Solution:

Given that, total cost of production = 6000 metric tons

Therefore,

Central angle = (component value/6000) × 360°

Now the central angle for each activity will be calculated as follows :

**Items	**Production	**Central Angle
Wheat	3260	3260/6000 * 360 = 195.6
Rice	1840	1840/6000 * 360 = 110.4
Tea	900	900/6000 * 360 = 54

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

**Question 15. Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:

**12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7

**Solution:

Given that, total amount = 100.1%

Therefore,

Central angle = (component value/100.1) × 360°

Now the central angle for each activity will be calculated as follows :

**Class	**Amount (in %)	**Central Angle
1	12.6	12.6/100.1 * 360 = 45.3
2	18.2	18.2/100.1 * 360 = 65.5
3	17.5	17.5/100.1 * 360 = 62.9
4	20.3	20.3/100.1 * 360 = 73
5	2.8	2.8/100.1 * 360 = 10.1
6	4.2	4.2/100.1 * 360 = 15.1
7	9.8	9.8/100.1 * 360 = 35.2
8	14.7	14.7/100.1 * 360 = 52.9

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

**Question 16. Following is the break up of the expenditure of a family on different items of consumption:

**Draw a pie-diagram to represent the above data.

**Solution:

Given that, total expenditure = 3000 Rs

Therefore,

Central angle = (component value/3000) × 360°

Now the central angle for each activity will be calculated as follows :

**Items	**Expenditure (in Rs)	**Central Angle
Food	1600	1600/3000 * 360 = 192
Clothing	200	200/3000 * 360 = 24
Rent	600	600/3000 * 360 = 72
Education	150	150/3000 * 360 = 18
Fuel	100	100/3000 * 360 = 12
Medicine	80	80/3000 * 360 = 9.6
Miscellaneous	270	270/3000 * 360 = 32.4

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.

**Question 17. Draw a pie diagram for the following data of the investment pattern in a five years plan:

**Solution:

Given that, total investment = 100%

Therefore,

Central angle = (component value/100) × 360°

Now the central angle for each activity will be calculated as follows :

**Data	**Investment (in %)	**Central Angle
Agriculture	14	14/100 * 360 = 50.4
Irrigation and Power	16	16/100 * 360 = 57.6
Small Industries	29	29/100 * 360 = 104.4
Transport	17	17/100 * 360 = 61.2
Social Services	16	16/100 * 360 = 57.6
Miscellaneous	8	8/100 * 360 = 28.8

Steps to construct pie chart using above data :

**Step 1. First draw the circle of an appropriate radius.

**Step 2. Now draw a vertical radius anywhere inside the circle.

**Step 3. Now choose the largest central angle then construct a sector of central angle, whose one radius coincides with the radius drawn in step 2 and the other radius is in clockwise direction to the vertical radius.

**Step 4. Construct other sectors representing other values in clockwise direction in descending order of values of their central angles.

**Step 5. Shade the sectors so obtained by different colors and label them.