Question : The following pie chart shows the actual number of photographs shared by a person on each of 7 different social media platforms
What is the difference between the central angles made by sector P5 and sector P1?
Option 1: $18^\circ$
Option 2: $10.8^\circ$
Option 3: $14.4^\circ$
Option 4: $21.6^\circ$
Correct Answer: $14.4^\circ$
Solution :
Number of photographs shared by a person on P5 = 144
Number of photographs shared by a person on P1 = 108
Difference between P5 and P1 = 144 – 108 = 36
Total = 108 + 122 + 113 + 137 + 144 + 166 + 110 = 900
Central angle = $\frac{\text{Difference}}{\text{Total}}\times 360^\circ=\frac{36}{900}\times360^\circ=14.4^\circ$
Hence, the correct answer is $14.4^\circ$.
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