Question

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

110 students like the program.
120 students think the program is unnecessary.
210 students plan on running for student government next year.

If a circle graph were made from the data, what is the measure of the central angle for the group that plans on running for student government next year?
A. 39°
B. 90°
C. 98°
D. 172°

Answer 1

its 90

Answer 2

To find the measure of the central angle for the group that plans on running for student government next year, we need to first calculate the total number of students surveyed. This is simply the sum of the number of students in each category:

Total = 110 (like) + 120 (unnecessary) + 210 (running) = 440

Next, we can find the fraction of students who plan on running for student government next year by dividing the number of students in that category by the total number of students:

210/440 = 0.4773 (rounded to four decimal places)

This means that the central angle for the "running" category would be equal to 0.4773 times the total central angle of the circle graph (which is 360 degrees).

Central angle for "running" category = 0.4773 x 360 = 171.228 degrees

Rounding to the nearest degree, we get that the central angle for the "running" category is approximately 171 degrees, which corresponds to answer choice D.