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 ${81}^{\circ }$.What is the percentage of students interested in reading novels?
(a) $15\%$
(b) $18\%$
(c) $22\frac{1}{2}\%$
(d) $27\frac{1}{2}\%$

Answer 1

Let the required percentage be $x$.

Then we have:$\frac{x}{100}\times 360=81$

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

$\Rightarrow x=\frac{45}{2}$

$\Rightarrow x=22\frac{1}{2}$

So,the percentage of students who are interested in reading

novels is $22\frac{1}{2}\%$.

Hence, Option (c) is correct.