Question : The pie chart given below shows the number of laptops sold by each of 7 different brands in a year as percentages of the total number of laptops sold by all these 7 brands taken together in that year.
What is the difference between the measures of the central angles made by sector B2 and sector B5?
Option 1: 16.66°
Option 2: 21.6°
Option 3: 14.4°
Option 4: 7.2°
Correct Answer: 14.4°
Solution :
Given,
The pie chart is given for 7 laptop brands.
B2 = 22%
B5 = 18%
⇒ Difference between % of B2 and B5 = 22 – 18 = 4%
For 100%, central angle = 360°
⇒ for 4%, central angle = $\frac{360° × 4}{100}= 14.4°$
Hence, the correct answer is 14.4°.
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