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$500$ people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
 size(6.5cm); pair cis(real r,real t) {return (r*cos(t*pi/180),r*sin(t*pi/180)); } real t1=13*3.6; real t2=17*3.6; real t3=22*3.6; real t4=37*3.6; real t5=53*3.6; real t6=65*3.6; real t7=74*3.6; real t8=83*3.6; real t9=88*3.6; real t10=91*3.6; real t11=360; fill((0,0)--Arc((0,0),1,0,t1)--cycle,red); fill((0,0)--Arc((0,0),1,t1,t2)--cycle,orange); fill((0,0)--Arc((0,0),1,t2,t3)--cycle,yellow); fill((0,0)--Arc((0,0),1,t3,t4)--cycle,green); fill((0,0)--Arc((0,0),1,t4,t5)--cycle,blue); fill((0,0)--Arc((0,0),1,t5,t6)--cycle,purple); fill((0,0)--Arc((0,0),1,t6,t7)--cycle,pink+magenta); fill((0,0)--Arc((0,0),1,t7,t8)--cycle,black); fill((0,0)--Arc((0,0),1,t8,t9)--cycle,white); fill((0,0)--Arc((0,0),1,t9,t10)--cycle,gray); fill((0,0)--Arc((0,0),1,t10,t11)--cycle,rgb(0.4,0.4,0.2)); draw(Circle((0,0),1)); draw((0,0)--cis(1,t1)); draw((0,0)--cis(1,t2)); draw((0,0)--cis(1,t3)); draw((0,0)--cis(1,t4)); draw((0,0)--cis(1,t5)); draw((0,0)--cis(1,t6)); draw((0,0)--cis(1,t7)); draw((0,0)--cis(1,t8)); draw((0,0)--cis(1,t9)); draw((0,0)--cis(1,t10)); draw((0,0)--cis(1,t11)); pair os=(0,0.06); label(scale(0.8)*"$\textbf{Red}$",cis(0.7,t1/2)+os); label(scale(0.8)*"$\textbf{13\%}$",cis(0.7,t1/2)-os); label(scale(0.8)*"$\textbf{Green}$",cis(0.7,(t3+t4)/2)+os); label(scale(0.8)*"$\textbf{15\%}$",cis(0.7,(t3+t4)/2)-os); label(scale(0.8)*"$\textbf{Blue}$",cis(0.7,(t4+t5)/2)+os,white); label(scale(0.8)*"$\textbf{16\%}$",cis(0.7,(t4+t5)/2)-os,white); label(scale(0.8)*"$\textbf{Purple}$",cis(0.7,(t5+t6)/2)+os,white); label(scale(0.8)*"$\textbf{12\%}$",cis(0.7,(t5+t6)/2)-os,white); label(scale(0.8)*"$\textbf{Pink}$",cis(0.8,(t6+t7)/2)+os); label(scale(0.8)*"$\textbf{9\%}$",cis(0.8,(t6+t7)/2)-os); label(scale(0.8)*"$\textbf{Black}$",cis(0.8,(t7+t8)/2)+os,white); label(scale(0.8)*"$\textbf{9\%}$",cis(0.8,(t7+t8)/2)-os,white); label(scale(0.8)*"$\textbf{Other}$",cis(0.75,(t10+t11)/2)+os,white); label(scale(0.8)*"$\textbf{9\%}$",cis(0.75,(t10+t11)/2)-os,white); label(scale(0.8)*rotate((t1+t2)/2)*"$\textbf{Orange 4\%}$",cis(0.7,(t1+t2)/2)); label(scale(0.8)*rotate((t2+t3)/2)*"$\textbf{Yellow 5\%}$",cis(0.71,(t2+t3)/2)); label(scale(0.8)*rotate((t8+t9)/2)*"$\textbf{White 5\%}$",cis(0.73,(t8+t9)/2)); label(scale(0.8)*rotate((t9+t10)/2)*"$\textbf{Gray 3\%}$",cis(0.76,(t9+t10)/2));
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an $18^\circ$ angle, since $18^\circ$ is $5\%$ of $360^\circ$.

Which sector makes an angle closest to $40^\circ$? (Your answer should be a color word.)

 May 28, 2015

Best Answer 

 #1
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It's purple:  40o = 11.111111%

 May 28, 2015
 #1
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Best Answer

It's purple:  40o = 11.111111%

Guest May 28, 2015

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