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.
Please don't just give me the answers I really just want to know how to do it. Thanks :)
Also...I don't have an answer for you guys to check because I don't know how to do it.
Adding all of the students together, there are a total of 545 -- and that's assuming there's no overlap.
190/545 = 0.3486 = 35% like the program
There's a total of 360 degrees in the circle.
0.35 * 360 = ______ degrees
Oh...I get it! Thank You Ms. Sue! :)
You're very welcome. :-)
To find the measure of the central angle for the group that likes the program, you need to calculate the percentage of students who like the program out of the total number of students.
First, add the number of students who like the program (190) and the number of students who think the program is unnecessary (135). This will give you the total number of students who answered the survey, which is 325.
Next, calculate the percentage of students who like the program by dividing the number of students who like the program (190) by the total number of students (325), and then multiplying by 100 to convert it to a percentage. You can use this formula:
Percentage = (Number of students who like the program / Total number of students) * 100
Percentage = (190 / 325) * 100 = 58.46
Now that you have the percentage of students who like the program, you need to find the corresponding central angle. In a circle graph, the central angle of a category is directly proportional to its percentage.
To find the central angle, multiply the percentage by 360 degrees (since a full circle is 360 degrees). You can use this formula:
Central angle = Percentage * 360
Central angle = 58.46 * 360 = 21045.6 degrees
Finally, round the central angle to the nearest whole number. The nearest whole number to 21045.6 is 21046 degrees.
So, the measure of the central angle for the group that likes the program is approximately 21046 degrees.