In the pie chart representing the percentages of students having interest in reading various kinds of books,the central angle of the sector representing students reading novels 81°. What is the percentage of students interested in reading novels?
81/360 = 0.225 = 22.5%
To find the percentage of students interested in reading novels, we need to determine the ratio of the central angle of the sector representing students reading novels to the total angle of the pie chart, and then multiply it by 100.
Step 1: Calculate the total angle of the pie chart.
Since a pie chart represents 100% and is divided into various sectors, the total angle of the pie chart is 360°.
Step 2: Calculate the percentage of students interested in reading novels.
The central angle of the sector representing students reading novels is given as 81°.
Using the formula: (Central angle of sector / Total angle of pie chart) × 100
Substituting the given values: (81° / 360°) × 100 = 22.5%
Therefore, the percentage of students interested in reading novels is 22.5%.
To find the percentage of students interested in reading novels, we need to determine the proportion of the total angle that the sector representing students reading novels occupies.
Since the central angle for the sector representing students reading novels is given as 81°, and a full circle has 360°, we can calculate the percentage as follows:
Percentage = (angle of sector / total angle) x 100
Percentage = (81° / 360°) x 100
Percentage = 0.225 x 100
Percentage ≈ 22.5%
Therefore, the percentage of students interested in reading novels is approximately 22.5%.