Each of the following pie charts gives you a different piece of information about your class. Find the fraction of the circle representing each of these information.
Answer the following questions based on the pie chart given.
(i) Which type of programmes are viewed the most?
(ii) Which two types of programmes have number of viewers equal to those watching sports channels?
From this pie chart answer the following:
(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?
(iii) If a cassette company were to make 1000 CD ’s how many of each type would they make?
(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information.
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the student were 540, answer the following questions.
(i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
(Hint: Just study the central angles.)
(i) Total marks = 540
∴ Central angle corresponding to 540 marks =
Central angle corresponding to 105 marks =
Since the sector having central angle is is corresponding to Hindi.
Thus, the student obtained 105 marks in Hindi.
(ii) ∵ The central angle corresponding to the sector of Mathematics =
∴ Marks obtained in Mathematics =
Thus, marks more in Mathematics than in Hindi = 135 - 105 = 30
(iii) Since, the sum of the central angles for Social Science and Mathematics
=
Also, the sum of the central angles for Science and Hindi
=
∵ Marks obtained are proportional to the central angles corresponding to various items and
∴ Marks of in Science and Mathematics are more than the marks obtained in Science and Hindi.