Question : The number of hours spent by a student on different activities as shown in the following pie chart:
The central angle corresponding to the sleeping time is what percentage of the whole central angle?
Option 1: 66.66%
Option 2: 33.33%
Option 3: 55%
Option 4: 50%
Correct Answer: 33.33%
Solution :
Number of hours spent on sleeping = 8
Total hours spent in all activities = 24
Required percentage = $\frac{\text{Time spent on sleeping}}{\text{Total hours in all activities}}\times100$
= $\frac{8}{24}\times100$
= 33.33%
Hence, the correct answer is 33.33%.
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