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# The number of students in a hostel speaking different languages is given below :Language TamilTeluguMalayalamKannadaEnglishOthersNumber of students 36129654Represent the data in a pie chart.

Last updated date: 20th Jul 2024
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Hint: To draw a pie chart we need to find a central angle for each language. And the central angle is given by $\dfrac{{{\text{number of students speaking that language}}}}{{{\text{total number of students}}}}\times 360$. Using this we need to find the central angle for each language and then draw a circle of any radius and placing the protractor on the horizontal radius we need to mark the central angle and repeat the process for all the languages.

Complete step by step solution:
Here we are given the number of students speaking each language
To draw a pie chart we need to find a central angle for each language
And the central angle is given by $\dfrac{{{\text{number of students speaking that language}}}}{{{\text{total number of students}}}}\times 360$
So the total number of students is given by
$\Rightarrow 36 + 12 + 9 + 6 + 5 + 4 = 72$
So let's find the central angle for each language
The number of students speaking tamil is 36
$\Rightarrow \dfrac{{36}}{{72}}\times 360 \\ \Rightarrow \dfrac{1}{2}\times 360 \\ \Rightarrow \dfrac{{360}}{2} = 180 \\$
Hence the central angle for tamil is ${180^ \circ }$
The number of students speaking telugu is 12
$\Rightarrow \dfrac{{12}}{{72}}\times 360 \\ \Rightarrow \dfrac{1}{6}\times 360 \\ \Rightarrow \dfrac{{360}}{6} = 60 \\$
Hence the central angle for telugu is ${60^ \circ }$
The number of students speaking malayalam is 9
$\Rightarrow \dfrac{9}{{72}}\times 360 \\ \Rightarrow \dfrac{1}{8}\times 360 \\ \Rightarrow \dfrac{{360}}{8} = 45 \\$
Hence the central angle for malayalam is ${45^ \circ }$
The number of students speaking kannada is 6
$\Rightarrow \dfrac{6}{{72}}\times 360 \\ \Rightarrow \dfrac{1}{{12}}\times 360 \\ \Rightarrow \dfrac{{360}}{{12}} = 30 \\$
Hence the central angle for kannada is ${30^ \circ }$
The number of students speaking english is 5
$\Rightarrow \dfrac{5}{1}\times 5 \\ \Rightarrow 5\times 5 = 25 \\$
Hence the central angle for english is ${25^ \circ }$
The number of students speaking other language are 4
$\Rightarrow \dfrac{4}{{72}}\times 360 \\ \Rightarrow \dfrac{1}{{18}}\times 360 \\ \Rightarrow \dfrac{{360}}{{18}} = 20 \\$
Hence the central angle for other language is ${20^ \circ }$
To draw a pie chart we need to draw a circle with any radius.

If the data is given in percentage then the central angle is given by $\dfrac{{{\text{percentage value of the component}}}}{{100}}\times 360$.