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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
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