1. Grade 7 students were surveyed to determine how many hours a day they spent on various
activities. The results are shown in the circle graph below. Find the measure of each central
angle in the circle graph.
a. Sleeping
b. Eating
School
25%
Sleeping
33%
Eating
8%
Homework
8%
Watching TV
13%
Socializing
13%
How Students Spend Their Time
6,7,4, or 5 hours?
5 hours D.)
thanks free gucci i got that correct idk if u were guessing or not but its right
To find the measure of each central angle in the circle graph, we need to determine the percentage of time spent on each activity and then convert it into degrees.
a. Sleeping:
The measure of the central angle for Sleeping can be found by multiplying the percentage (33%) by the total degrees in a circle (360 degrees).
33% * 360 degrees = 0.33 * 360 degrees = 118.8 degrees
Therefore, the measure of the central angle for Sleeping is approximately 118.8 degrees.
b. Eating:
The measure of the central angle for Eating can be found by multiplying the percentage (8%) by the total degrees in a circle (360 degrees).
8% * 360 degrees = 0.08 * 360 degrees = 28.8 degrees
Therefore, the measure of the central angle for Eating is approximately 28.8 degrees.
To find the measure of each central angle in the circle graph, we need to calculate the percentage of each activity.
a. Sleeping:
The sleeping section in the circle graph represents 33% of the total. To calculate the measure of the central angle for sleeping, we need to find 33% of the total degrees in a circle (360°):
33% x 360° = 0.33 x 360° = 118.8°
Therefore, the measure of the central angle for sleeping is approximately 118.8°.
b. Eating:
The eating section in the circle graph represents 8% of the total. To calculate the measure of the central angle for eating, we need to find 8% of the total degrees in a circle (360°):
8% x 360° = 0.08 x 360° = 28.8°
Therefore, the measure of the central angle for eating is approximately 28.8°.
According to the given information, the grade 7 students spend 6-7 hours sleeping and 4-5 hours eating.