Question 55

The following table shows the percentage distribution of students in various disciplines from five different colleges.

If the data of the total students’ college wise, is represented by a pie-chart, what is the central angle of the sector representing college E (to nearest whole number)?

Solution

As per the given data in the question,

Total number of student in the college E =11000

Total number of student $$=8000+10000+15000+9000+11000=53000$$

Hence, the ratio of student in E and total student $$=\dfrac{11000}{53000}$$

Hence, the angle at the center $$=\dfrac{11\times 360}{53}=74.71^\circ \cong 75^\circ$$


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