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Q.

Data collection in a survey shows that $40 %$ of the buyers are interested in buying a particular brand of toothpaste. What will be the central angle of the sector of the pie chart representing this information?

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a

120^{o}

b

150^{o}

c

144^{o}

d

40^{o}

answer is C.

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Detailed Solution

Given percentage of people buying the particular toothpaste brand

= 40

%.
The central angle of the sector of pie chart representing the above information=

40

% of central angle.
As, central angle is

360^{o}

.

\Rightarrow

\frac{40}{100} \times 360^{o}

\Rightarrow

144 °

So, central angle of sector of pie chart which represents 40% is

144 °

.
Hence, the correct option is 3.

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Data collection in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. What will be the central angle of the sector of the pie chart representing this information?