Question

Draw a Piechart using the following information below. The table shows the Games Preferred by Students of a Class.

Game : Football ⠀Cricket ⠀Basketball ⠀Chess
Students : 18 ⠀9 ⠀6 ⠀3

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Answer 1

Answer:

⠀⠀⠀⠀⠀⠀Given Information

⠀⠀$\large\begin{tabular}{|c|c|} \cline{1-2} \bf Game& \bf Students\\\cline{1-2} \sf Football& \sf 18\\\cline{1-2} \sf Cricket& \sf 9\\\cline{1-2} \sf Basketball& \sf 6\\\cline{1-2} \sf Chess& \sf 3\\\cline{1-2} \bf Total& \bf 36\\\cline{1-2}\end{tabular}$

⠀⠀⠀$\rule{160}{1}$

✩ First we will find required Angles for each Game preferred by Students.

✩ Each Angle will be Equal to the Students upon Total Students multipled by 360°

⠀

$\boxed{\begin{array}{cccc}\sf Game&\sf Students&\sf Angle\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf Football&\sf 18&\sf \dfrac{18}{36} \times 360 = 180^{\circ} \\\\\sf Cricket &\sf 9&\sf \dfrac{9}{36} \times 360 = 90^{\circ} \\\\\sf Basketball&\sf 6&\sf \dfrac{6}{36} \times 360 = 60^{\circ} \\\\\sf Chess&\sf 3&\sf \dfrac{3}{36} \times 360 = 30^{\circ}\end{array}}$

⠀

$\underline{\bigstar\:\textsf{Required Pie Chart is Shown below :}}$

$\setlength{\unitlength}{1.5mm}\begin{picture}(50,55)\linethickness{.27mm}\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(5,30){\line(5,0){40}}\put(25,30){\circle*{1}}\put(24.22,10){ \line(0,2){20}}\qbezier(25,30)(25,30)(42,19.5)\put(20,40){\Large\sf Football}\put(23,36){\large\sf 180 ^{\circ} }\put(11,22){\Large\sf Cricket}\put(13,18){\large\sf 90 ^{\circ} }\put(26,15){\large\sf Basketball}\put(29,19){\large\sf 60 ^{\circ} }\put(37,27){\large\sf Chess}\put(39,23){\large\sf 30 ^{\circ} }\end{picture}$

$\rule{180}{1.8}$

⠀⠀$\bf{\dag}\:\textsf{Required Angles for Each :}\\\\\large\begin{tabular}{|c|c|} \cline{1-2} \bf Game& \bf Students\\\cline{1-2} \sf Football& \sf 180^{\circ} \\\cline{1-2} \sf Cricket& \sf 90^{\circ} \\\cline{1-2} \sf Basketball& \sf 60^{\circ} \\\cline{1-2} \sf Chess& \sf 30^{\circ} \\\cline{1-2} \bf Total& \bf 360^{\circ} \\\cline{1-2}\end{tabular}$