A survey about the student government program at a school finds that of 245 students:
218 students like the program
27 students think the program is unnecessary
If a circle graph were made from this data, what would the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.

-Cant figure out how to do this, if you could help teach me how to get to the answer it would be great :)

Question

A survey about the student government program at a school finds that of 245 students:
218 students like the program
27 students think the program is unnecessary
If a circle graph were made from this data, what would the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.

 
-Cant figure out how to do this, if you could help teach me how to get to the answer it would be great :)

anonymous · Answer

well you need to start with adding all three of your numbers together

anonymous · Answer

wait nvm you have 245

anonymous · Answer

218 divided by 245 times 100 is your first percent

anonymous · Answer

27 divided by 245 times 100 is your second percent

anonymous · Answer

88.97% like the program; 11.02% find the program unnecessary

anonymous · Answer

But I need to find the measure of the central angle, and I'm not sure how to find it with those percentages.

anonymous · Answer

ok. so you need to go to an online graph generator. create the online graph and measure the angles of the pie pieces in the circle graph

anonymous · Answer

Thanks for the help. but I am pretty sure that there is a mathematical format for it, and I'm trying to find it..

mathstudent55 · Answer

A circle is 360 degrees.
Since 218 out of 245 represents 89%, take 89% of 360. That is the same as 0.89*360. this gives you the degrees of the 218 part.
The same applies to the 27 out 245.
27 out of 245 is 11%, so do 0.11 * 360 to get the degrees of the 27 part.