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Mathematics 23 Online
OpenStudy (anonymous):

I NEED HELP ON THIS!!!!! PLZ! 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.

OpenStudy (mertsj):

What is the fraction of students who like the program?

OpenStudy (anonymous):

218

OpenStudy (mertsj):

218 is not a fraction

OpenStudy (mertsj):

There are 245 students in all. 218 of them like the program so the fraction of the students who like the program is 218 out of 245 or 218/245

OpenStudy (mertsj):

Therefore they should have that part of the circle in the circle graph.

OpenStudy (littlebird):

OpenStudy (mertsj):

Since a circle has 360 degrees they should have this many degrees: \[\frac{218}{245}\times360^{o}\]

OpenStudy (littlebird):

That picture I posted gives a similar example. I also have the answer for when you want to check yours. Mertsj gave the same explanation.

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