question_answer 1)

                Draw a pie chart showing the following information. The table shows the colors prefered by a group of people.                                                                          

Colors	Number of People
Blue	18
Green	9
Red	6
Yellow	3
Total	36

Find the proportion of each sector. For example, Blue is \[\frac{18}{36}=\frac{1}{2};\] Green is \[\frac{9}{36}\,=\frac{1}{4}\] and so on. Use this to find the corresponding angles.

Answer:

                Pie chart                

Colors	Number of People	Proportion	Corresponding
Blue	18	\[\frac{18}{36}=\frac{1}{2}\]	\[\frac{1}{2}\times \,{{360}^{\text{o}}}={{180}^{\text{o}}}\]
Green	9	\[\frac{9}{36}=\frac{1}{4}\]	\[\frac{1}{4}\times \,{{360}^{\text{o}}}={{90}^{\text{o}}}\]
Red	6	\[\frac{6}{36}=\frac{1}{6}\]	\[\frac{1}{6}\times \,{{360}^{\text{o}}}={{60}^{\text{o}}}\]
Yellow	3	\[\frac{3}{36}\,=\frac{1}{12}\]	\[\frac{1}{12}\times \,{{360}^{\text{o}}}={{30}^{\text{o}}}\]
Total	36	1	\[{{360}^{\text{o}}}\]