Central Angle of Pie Chart

Q. What is pie?

Q.

The pie chart shows the amount of time that Jaison spends each day on various activities.

What is the angle of the sector of the pie chart representing sports time?

1. 90⁰

2. 100⁰

3. 50.4⁰

4. 48.5⁰

Q.

Mr. Girish’s monthly income is ₹ 2, 40, 000 and his monthly expenditure on rent is ₹ 25, 000. The central angle of the sector representing rent expenses in the pie chart would be ___.

1. ${36}^{\circ }$

2. ${35.5}^{\circ }$

3. ${40}^{\circ }$

4. ${37.5}^{\circ }$

Q.

In the pie chart representing the percentages of students having interest in reading various kinds of books, the central angle of the sector representing students reading novels is 81°. What is the percentage of students interested in reading novels?

1. 25.5%

2. 22%

3. 22.5%

4. 20%

Q.

If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be ___.

1. 140${}^{\circ }$

2. 136${}^{\circ }$

3. 126 ${}^{\circ }$

4. 111.5 ${}^{\circ }$

Q.

The following pie-chart shows the marks scored by a student. If he obtained 540 as his total marks,

In which subject did he score the lowest marks?

1. Maths

2. Social

3. Science

4. Hindi

Q.

The following pie-chart represents the marks scored by a student. If he obtained $540$ as total marks, answer the following:

In which subject did the student score $120$ marks?

1. Hindi

2. Science

3. English

4. Maths

Q.

Some children were asked to name their favourite flavour of ice cream. The result is shown in the pie chart given below.

Find the number of children who said mint was their favourite flavour if 12 had said that vanilla was their favourite flavour.

1. 5

2. 6

3. 3

4. 0

Q.

Question 130

In a debate competition, the judges decide that 20% of the total marks would be given for accent and presentation. 60% of the rest are reserved for the subject matter and the rest are for rebuttal, If this means 8 marks for rebuttal, then find the total marks.

Q.

The pie chart shows the results of a survey conducted to identify the favourite juice of some students.

How many students like orange juice, if the strength of the school is 720?

1. 360

2. 500

3. 150

4. 180

Q.
The above pie chart shows the percentage of cars sold according to colour. If in a certain period, the total production of all cars was 95400 then how many more blue cars were sold than green?

1. 2580
2. 3618
3. 3816
4. 2850

Q.

There are 216 workers in a factory out of which 75 are labourers. What would be the central angle of the sector representing labourer in a pie chart?

1. ${135}^{\circ }$

2. ${125}^{\circ }$

3. ${140}^{\circ }$

4. ${100}^{\circ }$

Q.

The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads.

What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?

1. 24⁰

2. 18⁰

3. 36⁰

4. 48⁰

Q.

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then percentage of girls in the class is ___ %.

Q.

The number of students in a hostel, speaking different languages is given below.
$\begin{array}{cc}\text{Language}& \text{No. of Students}\\ \text{Hindi}& 40\\ \text{English}& 12\\ \text{Marathi}& 9\\ \text{Tamil}& 7\\ \text{Bengali}& 4\\ \text{Total}& 72\end{array}$
If a pie chart is drawn for the above data, what is the central angle for the number of students speaking hindi?

1. ${60}^{\circ }$

2. ${200}^{\circ }$

3. ${100}^{\circ }$

4. ${35}^{\circ }$

Q.

The length of $40$ leaves of a plant are measured correct to one millimeter, and the obtained data is represented in the following table:
$\begin{array}{cc}\text{Length(in mm)}& \text{Number of leaves}\\ 118-126& 3\\ 127-135& 5\\ 136-144& 9\\ 145-153& 12\\ 154-162& 5\\ 163-171& 4\\ 172-180& 2\end{array}$
(i) Draw a histogram to represent the given data.

Q.

Out of 1650 students represented in a pie chart, the central angle of the sector representing Arts students is 48°, number of students in the Arts stream is

1. 220

2. 200

3. 240

4. 280

Q.

The pie chart shows the amount of time that Jaison spends each day on various activities.

What is the angle of the sector of the pie chart representing his sleep time?

1. 45.5⁰

2. 80⁰

3. 90⁰

4. 20⁰

Q.

If $400$ students voted in all, then how many did vote ‘Others’ color as their favorite?

1. $6$

2. $20$

3. $24$

4. $40$

Q.

Some children were asked to name their favourite flavour of ice cream. The result is shown in the following pie chart.

Find the number of children who said chocolate was their favourite flavour if 12 students had said that vanilla is their favourite flavour.

1. 25

2. 15

3. 10

4. 16

Q.

From the given pie charts, find X (the percentage of people who like watching Movies). The percentage of people who like reading is 4% less than that of the people who like playing.

1. 28

2. 100

3. 50

4. 36

Q.

What is the measure of the central angle in a pie chart?

1. 360 degrees

2. 180 degrees

3. 90 degrees

4. 210 degrees

Q.

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

Q.

A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings.

What percentage of surveyed people like Rockey?

1. 16%

2. 15%

3. 60%

4. 20%

Q. The angle subtended by blue portion at the center of following pie-chart is.

1. ${227}^0$
2. ${234}^0$
3. ${254}^0$

Q. Number of goals scored by a football player named AJU is represented on the bar graph given below. What will be the central angle made by (in degrees) match 3 if number of goals are represented in the form of a pie chart?

1. 90

Q.

Question 51

In questions 24 to 59, fill in the blanks to make the statements true.
If A is increased by 20 %, it equals B. If B is decreased by 50%, it equals C. Then, ___ % of A is equal to C.

Q.

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ 2:5& \text{B.}& \text{Rs.}47\end{array}$

Q.

State true or false.

The number of students speaking different languages is given below. By displaying the data in a pie chart, we can say that the percentage of student speaking Marathi is 14%.

$$\begin{array}{cc}Language& No.ofStudents\\ Hindi& 40\\ English& 12\\ Marathi& 9\\ Tamil& 7\\ Bengali& 4\\ Total& 72\end{array}$$

1. True

2. False

Q.

If given a percentage of the whole, how do you find the Central Angle?

1. Multiply by 3.6

2. Add 3.6

3. Subtract 3.6

4. Divide by 3.6