When we find the central angel on pie chart we get 18/36*360•=180•which is half of pie.so we write that semi circular sector love reading.

Representation of Reading in the Pie Chart

To represent the information that 18 out of 36 people love reading in a pie chart, we need to determine the appropriate sector size for the reading category.

Understanding Pie Charts

Pie charts are circular graphs that are divided into sectors to represent different categories or groups of data. Each sector represents a proportion or percentage of the whole data set. The size of each sector is determined by the relative frequency or proportion of the category it represents.

Determining the Sector Size

In this case, we are given that 18 out of 36 people love reading. To determine the sector size for the reading category, we need to calculate the percentage it represents.

Percentage = (Number of people who love reading / Total number of people) * 100
= (18 / 36) * 100
= 50%

Choosing the Appropriate Sector Size

Now that we know the reading category represents 50% of the data, we need to choose the appropriate sector size to represent it in the pie chart.

Options:
a) 36 degree sector: A full circle has 360 degrees, so a 36 degree sector would represent 10% of the data. Since the reading category represents 50% of the data, a 36 degree sector would not be appropriate as it is too small.

b) Quarter sector: A quarter sector would represent 25% of the data. Since the reading category represents 50% of the data, a quarter sector would be larger than necessary.

c) Semi-circular sector: A semi-circular sector represents half of the circle or 50% of the data. This is the most appropriate option to represent the reading category in the pie chart since it accurately reflects the proportion of people who love reading.

d) None of these: This option is incorrect because the appropriate representation for the reading category is a semi-circular sector.

Therefore, the correct answer is option 'C' - semi-circular sector.