4. 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$\inline 540$, answer the following questions.(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).

Answers (1)
S seema garhwal
 subject central angle marks obtained mathematics $90\degree$ $(90\degree\times 540)\div 360 = 135$ science $80\degree$ $(80\degree\times 540)\div 360 = 120$ social science $65\degree$ $(65\degree\times 540)\div 360 = 97.5$ english $55\degree$ $(55\degree\times 540)\div 360 = 82.5$ hindi $70\degree$ $(70\degree\times 540)\div 360 = 105$

(iii) the sum of the marks obtained in Social Science and Mathematics = $97.5+135=232.5$

the sum of the marks obtained in Science and Hindi = $120+105=225$

Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

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