Question : The pie chart given below shows the number of girls in six schools. The total number of girls in all these six schools is 8000. Number of girls in a particular school is shown as a percentage of total number of girls in all these six schools.
What is the difference between the central angle formed by sectors M and Q?
Option 1: 64.3°
Option 2: 82.8°
Option 3: 74.3°
Option 4: 93.5°
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Correct Answer: 82.8°
Solution :
Given,
The total number of girls in all these six schools is 8000
The difference between the central angle formed by sectors M and Q $= \frac{\text{ The difference of percentage of M and Q }}{\text{100}}\times 360°$
$=\frac{37-14}{100}\times 360°=\frac{23}{100}\times 360° = 82.8°$
Hence, the correct answer is 82.8°.
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