Question : The following pie chart shows the share of the marks scored by Rahul in an examination in each of 5 different subjects - English, Hindi, Mathematics, Science and Social Science - as percentages of the total marks scored by Rahul in all the 5 subjects taken together.
What is the central angle showing the shares of the marks in Hindi and Social Science, taken together?
Option 1: $186^\circ$
Option 2: $196^\circ$
Option 3: $144^\circ$
Option 4: $172^\circ$
Correct Answer: $144^\circ$
Solution :
Given: Total marks = 100%
Marks scored in Hindi = 24%
Marks scored in social science = 16%
Sum of marks scored in both = 24% + 16% = 40%
Central angle $=\frac{\text{Sum of marks in Hindi and social science}}{\text{Total marks}}\times360^\circ=\frac{40}{100}\times360^\circ=144^\circ$
Hence, the correct answer is $144^\circ$.
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