Question : The given pie chart shows the percentage distribution of 450 employees in an organisation. Study the pie chart and answer the question that follows.
What is the central angle of the sector representing the number of employees in department A?
Option 1: $72^{\circ}$
Option 2: $108^{\circ}$
Option 3: $36^{\circ}$
Option 4: $90^{\circ}$
Correct Answer: $72^{\circ}$
Solution :
Total number of employees = 450
Central angle = $\frac{\text{Value}}{\text{Sum of the total values}} \times 360^\circ$
Number of employees in department A = 20% of 450
= $\frac{20 \times 450}{100}$ = 90
The central angle of the employees in department A = ($\frac{90}{450}
) × 360^\circ$ = 72$^\circ$
$\therefore$ The central angle of the employees in department A is 72$^\circ$.
Hence, the correct answer is 72$^\circ$.
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