Question : The following pie chart shows the sales in a restaurant in a day, in percentage terms.
If the total number of items sold in a day is 100, then what is the central angle made by the sector giving data about the sale of 'Sandwich' in the pie chart?
Option 1: 20°
Option 2: 72°
Option 3: 45°
Option 4: 90°
Correct Answer: 72°
Solution :
Given: The total number of items sold in a day is 100.
The percentage of Sandwich = 20%
The amount of Sandwich sold in a day = $\frac{20}{100}\times 100= 20$
$\text{Central angle}=\frac{\text{The amount of an item}}{\text{An amount of all the items}}\times 360°$
The central angle made by the sector that gives data about the sale of 'Sandwich' in the pie chart
$=\frac{20}{100}\times 360°=72°$
Hence, the correct answer is 72°.
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