Question : Study the given chart and answer the following question.
What is the central angle corresponding to the production of steel by Kerala?
Option 1: $82^\circ$
Option 2: $65.8^\circ$
Option 3: $75.2^\circ$
Option 4: $72^\circ$
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Correct Answer: $72^\circ$
Solution :
From the pie chart provided:
Total production = 220 + 240 + 180 + 160 + 200 = 1000
Production in Kerala = 200
Central angle = $\frac{\text{Production in kerala}}{\text{Total production}}\times 360^\circ$
= $\frac{200}{1000}\times 360^\circ$
= $72^\circ$
Hence, the correct answer is $72^\circ$.
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