Question

Data collected in a survey shows that $40\%$ of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is ______.

• A. $120°$
• B. $150°$
• C. $144°$
• D. $40°$

Answer 1

The correct option is C

$144°$

Explanation for correct option:

Option $C$: $144°$

A pie chart is a type of graph that represents the data in a circular graph. A pie chart divides the circular statistical graphic into sectors or slices in order to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. In a Pie Chart, the sector is used to represent data. The pie chart is a vital type of data representation. It contains different segments and sectors in which each segment and sector of a pie chart forms a certain portion of the total(percentage). The total of all the data is equal to $360°$.

Here, it is given that $40\%$ of the buyers are interested in buying a particular brand of toothpaste.

The central angle of the sector of the pie chart representing this information$=$$40\%$ of the total of all the data

$\therefore$$\frac{40}{100}\times 360°$

$=0.4\times 360°$.

$=144°$.

Therefore, The central angle of the sector of the pie chart representing this information is $144°$.

Hence, option $C$ is the correct option.