Tick ( ) the correct answer in the following: In the pie chart re… - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer in the following:
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
$18\%$
✓
$22\frac{1}{2}\%$
D
$27\frac{1}{2}\%$

✓

Answer

Correct option: C.

$22\frac{1}{2}\%$

Let the required percentage be $x$. Then we have:
$\Big(\frac{\text{x}}{100}\times360\Big)=81$
$\Rightarrow\frac{\text{360x}}{100}\times81$
$\Rightarrow\text{x}=\Big(81\times\frac{\text{100}}{360}\Big)$
$\Rightarrow\text{x}=\frac{45}{2}$
$\Rightarrow\text{x}=22\frac{1}{2}$
Hence, the percentage of students who are interested in reading novels is $22\frac{1}{2}\%$.

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