A survey about the art program at a school found that 250 students wanted an after-school art program, 150 students wanted art classes during the day, and 100 students thought that the school should have no art program. If a circle graph were made from this data, what would be the measure of the central angle for the “after-school” group?
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Find the fraction part first, which would be 0.5 then multiply by 360. 0.5 x 360= 180
250 out of 500 students is going to give you 0.5. After that you will need to multiply that number by 360. your equation will look something like this: 0.5 x 360 = 180
your welcome! :)
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To find the measure of the central angle for the "after-school" group, we need to determine the percentage of students who wanted an after-school art program.
First, we need to calculate the total number of students who participated in the survey. This can be done by adding up the number of students in each category:
250 students + 150 students + 100 students = 500 students
Next, we can find the percentage of students who wanted an after-school art program by dividing the number of students in that category by the total number of students and then multiplying by 100:
(250 students / 500 students) x 100 = 50%
So, the "after-school" group represents 50% of the total number of students who participated in the survey.
The measure of the central angle in a circle graph represents the percentage of the whole circle it represents. Since the "after-school" group represents 50% of the total, the measure of the central angle for this group would be 50% of the whole circle.
In a circle graph, the whole circle represents 100%, so the measure of the central angle for the "after-school" group would be 50 degrees (since 50% of 100 degrees is 50 degrees).