Question 58

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?

Solution

Total = (18+24+14+28+16)% = 100%

As we know that $$100\%=360^{\circ\ }$$

$$1\%=3.6^{\circ\ }$$

$$(24+16)\%=(24+16)\times3.6^{\circ\ }$$

$$40\%=40\times3.6^{\circ\ }$$

Central angle showing the shares of the marks in Hindi and Social Science, taken together = $$144^{\circ\ }$$

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