Given:
There are given that the total number of people is 2400.
Explanation:
According to the question, we need to find the value of the central angle for Soccer.
Then,
For the central angle:
[tex]x=\frac{total\text{ number of people in soccer}}{total\text{ number of people}}\times360^{\circ}[/tex]
Then,
[tex]\begin{gathered} x=\frac{total\text{ number of people }\imaginaryI\text{n soccer}}{total\text{ number of people}}\times360^{\operatorname{\circ}} \\ x=\frac{768}{2400}\times360^{\operatorname{\circ}} \\ x=115.2^{\circ} \end{gathered}[/tex]
Final answer:
Hence, the value of the central angle for soccer is shown below:
[tex]x=115.2^{\circ}[/tex]
