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To find the angle we first have to find the percentage that the F region fills. Thus, we have to divide the F region students (39) by the total (A+B+C+D+F):
[tex]\text{Percentage = }\frac{39}{51+85+121+92+39}=0.1\text{ or 10\%}[/tex]We also know that one complete turn is 360 degrees, which is 100%. Then:
100% ------------- 360 degrees
10% ------------- X degrees
[tex]x\text{ = 360}\times0.1=36\text{ degr}ees[/tex]Answer: To indicate the F region would be used 36 degrees.