Question

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 students were $ 540$

Find 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 $ ?$

Hindi Science 

Answer 1

Finding the central angle:

Total marks obtained by the students$=540$

Marks scored by the student $=105$

For $540$ marks, the central angle $=360°$

For $1$ mark, the central angle$={\left(\frac{360}{540}\right)}^{°}$

For $105$ marks, the central angle $=\frac{360}{540}\times 105$

$$\begin{gathered} =\frac{2}{3}\times 105 \\ =2\times 35 \\ =70° \end{gathered}$$

The given pie chart, $70°$ corresponds to the Hindi language.

Hence, the student scored $105$ marks in Hindi.