Question : Study the pie-chart carefully and answer the questions.
What is the central angle corresponding to the total expenditure, expenditure on education in the given figure?
Option 1: 55.8°
Option 2: 55.2°
Option 3: 52°
Option 4: 42°
Correct Answer: 55.8°
Solution :
From the given figure,
Total = 5250 + 6125 + 7525 + 6475 + 4200 + 5425 = 35000
For education, amount spent = 5425
Central angle = $\frac{\text{Amount spent on education}}{\text{Total amount spent}}\times360°$
= $\frac{5425}{35000}\times 360°$
= 55.8°
Hence, the correct answer is 55.8°.
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