#### Question

In the following figure, the pie-chart shows the marks obtained by a student in various subjects. If the student scored 135 marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects.

#### Solution

\[\text{ Marks scored in mathematics }= \frac{\text{ Central angle of corresponding sector }\times\text{ Total Marks }}{360^\circ}\]

\[ 135 = \frac{90^\circ \times \text{ Total }}{360^\circ} \]

Total Marks = 540

Marks scored in Hindi = (Central angle of Hindi x Total)/360

= (60 x 540)/360 marks = 90 marks

Similarly, marks scored in science = (76 x 540) /360 marks = 114 marks

Marks scored in social science = (72 x 540) /360 marks = 108 marks

Marks scored in English = (62 x 540)/360 marks = 93 marks

Is there an error in this question or solution?

Solution In the Following Figure, the Pie-chart Shows the Marks Obtained by a Student in Various Subjects. If the Student Scored 135 Marks in Mathematics, Find the Total Marks in All the Subjects. Concept: Introduction of Circle Graph Or Pie Chart.