Given:
There are given that the total number of people is 2400.
Step-by-step explanation:
According to the question, we need to find the value of the central angle for Soccer.
Then,
For the central angle:

Then,
![\begin{gathered} x=\frac{total\text{ number of people }\imaginaryI\text{n soccer}}{total\text{ number of people}}*360^{\operatorname{\circ}} \\ x=(768)/(2400)*360^{\operatorname{\circ}} \\ x=115.2^(\circ) \end{gathered}]()
Final answer:
Hence, the value of the central angle for soccer is shown below:
