Question

*DO NOT ANSWER IF YOU DONT KNOW THE F/N CORRECT ANSWER*
In a recent election, there were six candidates and 4300 total votes. The circle graph below summarizes the votes by candidate. The central angle for the Choi slice is 86.4 ° . How many of the votes did Choi get?

Answer 1

First use the fact that there are 360degrees in a circle and the given angle to find out Choi's percentage of the vote:
$\%_{Choi}=\frac{86.4\°}{360\°} = 0.24 = 24\%$

Then use that percentage to calculate Choi's total votes:
$Votes_{Choi}=\%_{Choi} * Votes_{total}$
$Votes_{Choi}=24\% * 4300$
$Votes_{Choi}=\1032$

Choi got 1,032 votes.

To check:
$\frac{1032}{4300}=0.24$
$0.24 \times 360 = 86.4$ CHECKS

Also it looks like you attached the wrong picture.