Question

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 is 81°. What is the percentage of students interested in reading novels?

• A. 20%
• B. 25.5%
• C. 22%
• D. 22.5%

Answer 1

The correct option is D

22.5%

Let the percentage of students interested in reading novels be x %

Central Angle$=\frac{\text{observation percent}}{100}\times {360}^{\circ }$

$\Rightarrow {81}^{\circ }=\frac{x}{100}\times {360}^{\circ }$

$\Rightarrow x=\frac{81\times 100}{360}$

$\Rightarrow x=22.5\%$

$\therefore$ The percentage of students interested in reading novels is 22.5 %.