Question

A survey about the student government program at a school finds the following results:

190 students like the program
135 students think the program is unnecessary
220 students plan on running for student government next year.

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.

Answer 1

It would be a pie chart.
Consider the whole as 360 deg, it corresponds to the sum of the three given numbers.
From there you can work out the corresponding sector and its angle measure.

Answer 2

190 + 135 + 220 = 545
\[545 >>> 360 \deg\]
\[190 >>> x \deg\]
Set a ratio and solve for x.