out of 245 students,
-218 students like the program
-27 do not find the program necessary.
if a circle graph were made from this data, what would the measure of the central angle be for the group who likes the survey? round to the nearest whole number
(218/245)*360° will be the angle of the larger part.
Ac = 360 - (218/245)360 = 39.7o = Central Angle.
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students.
First, we need to find the total number of students who like the program by subtracting the number of students who do not find it necessary from the total number of students:
218 (students who like the program) = 245 (total students) - 27 (students who do not find the program necessary)
Next, we can calculate the percentage:
(218 / 245) × 100 = 88.9796%
To find the measure of the central angle for the group that likes the program, we multiply the percentage by 360 degrees (since a circle has 360 degrees):
88.9796% * 360° = 320.3256°
Rounding to the nearest whole number, the measure of the central angle for the group who likes the program would be 320 degrees.