Question : The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories is 1400. The production of a particular factory is shown as a percent of the total production of all these 6 factories.
Which of the following statements is correct?
I. The central angle formed by sectors A and C together is 156.6°.
II. The central angle formed by sectors B, D, and F together is 180°.
Option 1: Neither I nor II
Option 2: Only I
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only II
Solution :
According to the question
The central angle formed by sectors A and C together:
⇒ Total central angle for A and C = $\frac{16+30}{100}\times 360°$= 165.6°
⇒ So, statement I is incorrect.
The central angle formed by sectors B, D, and F = $\frac{24 + 5 + 21}{100}\times 360°$= 180°
⇒ Statement II is correct.
Hence, the correct answer is Only II.
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