Answer: 108°
Step-by-step explanation:
Since, by the given table,
The percentage of the students who choose orange juice = 30 %
Thus the fraction that choose orange juice = [tex]\frac{30}{100}=\frac{3}{10}[/tex]
Hence, out of total students 3/10 part of students choose orange juice.
Now for finding the central angle,
[tex]\text{ The central angle of 1 part of total students} = 360^{\circ}[/tex]
⇒ [tex]\text{ The central angle of }\frac{3}{10} \text{ part of student}=\frac{3}{10}\times 360^{\circ}[/tex]
⇒ [tex]\text{ The central angle of }\frac{3}{10} \text{ part of student}=\frac{1080}{10}[/tex]
⇒ [tex]\text{ The central angle of }\frac{3}{10} \text{ part of student}=108^{\circ}[/tex]
That is, the central angle of the students who choose orange juice is 108°
Hence, Fourth option is correct.
